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12974509200 = 2435210812091
BaseRepresentation
bin11000001010101011…
…10100110010010000
31020111012211100122210
430011111310302100
5203032433243300
65543240432120
7636343336302
oct140525646220
936435740583
1012974509200
115558854884
122621178640
1312ba0182a3
148b1211972
1550e0b9050
hex305574c90

12974509200 has 60 divisors (see below), whose sum is σ = 41561681648. Its totient is φ = 3459868800.

The previous prime is 12974509181. The next prime is 12974509213. The reversal of 12974509200 is 290547921.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5404846 + ... + 5407245.

Almost surely, 212974509200 is an apocalyptic number.

12974509200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12974509200 is an abundant number, since it is smaller than the sum of its proper divisors (28587172448).

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

12974509200 is a wasteful number, since it uses less digits than its factorization.

12974509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812112 (or 10812101 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 12974509200 in words is "twelve billion, nine hundred seventy-four million, five hundred nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10812091 21624182 32436273 43248364 54060455 64872546 86496728 108120910 129745092 162181365 172993456 216241820 259490184 270302275 324362730 432483640 518980368 540604550 648725460 810906825 864967280 1081209100 1297450920 1621813650 2162418200 2594901840 3243627300 4324836400 6487254600 12974509200