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12372670902100 = 22521011225016921
BaseRepresentation
bin1011010000001011110010…
…1001110110111101010100
31121210211000201010110022011
42310002330221312331110
53110203212222331400
642151532044514004
72414616214300165
oct264027451667524
947724021113264
1012372670902100
113a40247195483
121479aa654b904
136b9979102082
1430abaa35376c
15166c954288ba
hexb40bca76f54

12372670902100 has 36 divisors (see below), whose sum is σ = 27114524551548. Its totient is φ = 4900067680000.

The previous prime is 12372670902091. The next prime is 12372670902127. The reversal of 12372670902100 is 120907627321.

It can be written as a sum of positive squares in 6 ways, for example, as 997349758276 + 11375321143824 = 998674^2 + 3372732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612498361 + ... + 612518560.

It is an arithmetic number, because the mean of its divisors is an integer number (753181237543).

Almost surely, 212372670902100 is an apocalyptic number.

12372670902100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12372670902100 is an abundant number, since it is smaller than the sum of its proper divisors (14741853649448).

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

12372670902100 is a wasteful number, since it uses less digits than its factorization.

12372670902100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225017036 (or 1225017029 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 12372670902100 in words is "twelve trillion, three hundred seventy-two billion, six hundred seventy million, nine hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1225016921 2450033842 4900067684 6125084605 12250169210 24500338420 30625423025 61250846050 122501692100 123726709021 247453418042 494906836084 618633545105 1237267090210 2474534180420 3093167725525 6186335451050 12372670902100