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112002020010120 = 233534717581152993
BaseRepresentation
bin11001011101110110000000…
…100111011110100010001000
3112200120021210100101210000210
4121131312000213132202020
5104140020114110310440
61034113003452401120
732406610316030142
oct3135660047364210
9480507710353023
10112002020010120
1132761876455529
121068a8a9a761a0
134a6598c197a96
141d92cd8bb7c92
15ce3669c06a80
hex65dd809de888

112002020010120 has 128 divisors (see below), whose sum is σ = 336995746842240. Its totient is φ = 29779244113920.

The previous prime is 112002020010119. The next prime is 112002020010143. The reversal of 112002020010120 is 21010020200211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112002020010096 and 112002020010105.

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, 731996344 + ... + 732149336.

It is an arithmetic number, because the mean of its divisors is an integer number (2632779272205).

Almost surely, 2112002020010120 is an apocalyptic number.

112002020010120 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 112002020010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168497873421120).

112002020010120 is an abundant number, since it is smaller than the sum of its proper divisors (224993726832120).

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

112002020010120 is a wasteful number, since it uses less digits than its factorization.

112002020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170935 (or 170931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112002020010120 its reverse (21010020200211), we get a palindrome (133012040210331).

The spelling of 112002020010120 in words is "one hundred twelve trillion, two billion, twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 17581 20820 35162 41640 52743 70324 87905 105486 140648 152993 175810 210972 263715 305986 351620 421944 458979 527430 611972 703240 764965 917958 1054860 1223944 1529930 1835916 2109720 2294895 3059860 3671832 4589790 6100607 6119720 9179580 12201214 18301821 18359160 24402428 30503035 36603642 48804856 53088571 61006070 73207284 91509105 106177142 122012140 146414568 159265713 183018210 212354284 244024280 265442855 318531426 366036420 424708568 530885710 637062852 732072840 796328565 1061771420 1274125704 1592657130 2123542840 2689769933 3185314260 5379539866 6370628520 8069309799 10759079732 13448849665 16138619598 21518159464 26897699330 32277239196 40346548995 53795398660 64554478392 80693097990 107590797320 161386195980 322772391960 933350166751 1866700333502 2800050500253 3733400667004 4666750833755 5600101000506 7466801334008 9333501667510 11200202001012 14000252501265 18667003335020 22400404002024 28000505002530 37334006670040 56001010005060 112002020010120