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12110121111120 = 24351713072270977
BaseRepresentation
bin1011000000111001101101…
…1101111000111001010000
31120212201100011101011101120
42300032123131320321100
53041403012001023440
641431151323402240
72356633043012424
oct260163335707120
946781304334346
1012110121111120
11394996772554a
121437033083380
1369ac97012376
142dc1c0ccab84
1516002a98cdd0
hexb039b778e50

12110121111120 has 160 divisors (see below), whose sum is σ = 39780122087808. Its totient is φ = 3037076127744.

The previous prime is 12110121111091. The next prime is 12110121111133. The reversal of 12110121111120 is 2111112101121.

12110121111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12110121111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4197072 + ... + 6468048.

Almost surely, 212110121111120 is an apocalyptic number.

12110121111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890061043904).

12110121111120 is an abundant number, since it is smaller than the sum of its proper divisors (27670000976688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110121111120 is a wasteful number, since it uses less digits than its factorization.

12110121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272317 (or 2272311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12110121111120 its reverse (2111112101121), we get a palindrome (14221233212241).

Subtracting from 12110121111120 its reverse (2111112101121), we obtain a palindrome (9999009009999).

The spelling of 12110121111120 in words is "twelve trillion, one hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1307 1360 2040 2614 3921 4080 5228 6535 7842 10456 13070 15684 19605 20912 22219 26140 31368 39210 44438 52280 62736 66657 78420 88876 104560 111095 133314 156840 177752 222190 266628 313680 333285 355504 444380 533256 666570 888760 1066512 1333140 1777520 2270977 2666280 4541954 5332560 6812931 9083908 11354885 13625862 18167816 22709770 27251724 34064655 36335632 38606609 45419540 54503448 68129310 77213218 90839080 109006896 115819827 136258620 154426436 181678160 193033045 231639654 272517240 308852872 386066090 463279308 545034480 579099135 617705744 772132180 926558616 1158198270 1544264360 1853117232 2316396540 2968166939 3088528720 4632793080 5936333878 8904500817 9265586160 11872667756 14840834695 17809001634 23745335512 29681669390 35618003268 44522504085 47490671024 50458837963 59363338780 71236006536 89045008170 100917675926 118726677560 142472013072 151376513889 178090016340 201835351852 237453355120 252294189815 302753027778 356180032680 403670703704 504588379630 605506055556 712360065360 756882569445 807341407408 1009176759260 1211012111112 1513765138890 2018353518520 2422024222224 3027530277780 4036707037040 6055060555560 12110121111120