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12925837120 = 265717241487
BaseRepresentation
bin11000000100111000…
…01001111101000000
31020100211020120010011
430002130021331000
5202433003241440
65534341314304
7635212542220
oct140234117500
936324216104
1012925837120
115533330819
122608a05994
1312acc06441
148a8982080
15509ba29ea
hex302709f40

12925837120 has 336 divisors, whose sum is σ = 38357690112. Its totient is φ = 4060938240.

The previous prime is 12925837073. The next prime is 12925837189. The reversal of 12925837120 is 2173852921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26541517 + ... + 26542003.

It is an arithmetic number, because the mean of its divisors is an integer number (114159792).

Almost surely, 212925837120 is an apocalyptic number.

12925837120 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 12925837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178845056).

12925837120 is an abundant number, since it is smaller than the sum of its proper divisors (25431852992).

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

12925837120 is a wasteful number, since it uses less digits than its factorization.

12925837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 12925837120 in words is "twelve billion, nine hundred twenty-five million, eight hundred thirty-seven thousand, one hundred twenty".