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12240120120 = 23356710913967
BaseRepresentation
bin10110110011001000…
…10110100100111000
31011121000221112020020
423121210112210320
5200031432320440
65342324130440
7612215206254
oct133144264470
934530845206
1012240120120
115211257458
122457236a20
131200b28237
14841885264
154b98a23d0
hex2d9916938

12240120120 has 128 divisors (see below), whose sum is σ = 37613030400. Its totient is φ = 3185588736.

The previous prime is 12240120107. The next prime is 12240120143. The reversal of 12240120120 is 2102104221.

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

12240120120 is a modest number, since divided by 120120 gives 12240 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12240120120.

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, 869377 + ... + 883343.

It is an arithmetic number, because the mean of its divisors is an integer number (293851800).

Almost surely, 212240120120 is an apocalyptic number.

12240120120 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 12240120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806515200).

12240120120 is an abundant number, since it is smaller than the sum of its proper divisors (25372910280).

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

12240120120 is a wasteful number, since it uses less digits than its factorization.

12240120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14157 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12240120120 its reverse (2102104221), we get a palindrome (14342224341).

The spelling of 12240120120 in words is "twelve billion, two hundred forty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 109 120 134 201 218 268 327 335 402 436 536 545 654 670 804 872 1005 1090 1308 1340 1608 1635 2010 2180 2616 2680 3270 4020 4360 6540 7303 8040 13080 13967 14606 21909 27934 29212 36515 41901 43818 55868 58424 69835 73030 83802 87636 109545 111736 139670 146060 167604 175272 209505 219090 279340 292120 335208 419010 438180 558680 838020 876360 935789 1522403 1676040 1871578 2807367 3044806 3743156 4567209 4678945 5614734 6089612 7486312 7612015 9134418 9357890 11229468 12179224 14036835 15224030 18268836 18715780 22458936 22836045 28073670 30448060 36537672 37431560 45672090 56147340 60896120 91344180 102001001 112294680 182688360 204002002 306003003 408004004 510005005 612006006 816008008 1020010010 1224012012 1530015015 2040020020 2448024024 3060030030 4080040040 6120060060 12240120120