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12201111120 = 24351137124909
BaseRepresentation
bin10110101110011111…
…00010111001010000
31011111022112122221110
423113033202321100
5144441441023440
65334412053320
7611232506352
oct132717427120
934438478843
1012201111120
1151a1233410
122446164240
1311c5a1a7a3
1483a60d0d2
154b6249080
hex2d73e2e50

12201111120 has 160 divisors (see below), whose sum is σ = 42377466240. Its totient is φ = 2877880320.

The previous prime is 12201111113. The next prime is 12201111127. The reversal of 12201111120 is 2111110221.

It is an interprime number because it is at equal distance from previous prime (12201111113) and next prime (12201111127).

It is a super-2 number, since 2×122011111202 (a number of 21 digits) contains 22 as substring.

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 = 12201111096 and 12201111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201111127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35226 + ... + 160134.

It is an arithmetic number, because the mean of its divisors is an integer number (264859164).

Almost surely, 212201111120 is an apocalyptic number.

12201111120 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 12201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21188733120).

12201111120 is an abundant number, since it is smaller than the sum of its proper divisors (30176355120).

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

12201111120 is a wasteful number, since it uses less digits than its factorization.

12201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124973 (or 124967 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12201111120 its reverse (2111110221), we get a palindrome (14312221341).

It can be divided in two parts, 12201 and 111120, that added together give a palindrome (123321).

The spelling of 12201111120 in words is "twelve billion, two hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 124909 249818 374727 499636 624545 749454 999272 1249090 1373999 1498908 1873635 1998544 2498180 2747998 2997816 3747270 4121997 4621633 4996360 5495996 5995632 6869995 7494540 8243994 9243266 9992720 10991992 13739990 13864899 14989080 16487988 18486532 20609985 21983984 23108165 27479980 27729798 29978160 32975976 36973064 41219970 46216330 50837963 54959960 55459596 65951952 69324495 73946128 82439940 92432660 101675926 109919920 110919192 138648990 152513889 164879880 184865320 203351852 221838384 254189815 277297980 305027778 329759760 369730640 406703704 508379630 554595960 610055556 762569445 813407408 1016759260 1109191920 1220111112 1525138890 2033518520 2440222224 3050277780 4067037040 6100555560 12201111120