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12974988000 = 2535313312683
BaseRepresentation
bin11000001010101111…
…01001101011100000
31020111020201200110010
430011113221223200
5203033044104000
65543255004520
7636350402232
oct140527515340
936436650403
1012974988000
115559051587
122621369740
1312ba1551c0
148b12d8252
1550e160d50
hex3055e9ae0

12974988000 has 384 divisors, whose sum is σ = 47270006784. Its totient is φ = 3089664000.

The previous prime is 12974987989. The next prime is 12974988007. The reversal of 12974988000 is 88947921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974988007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4834659 + ... + 4837341.

It is an arithmetic number, because the mean of its divisors is an integer number (123098976).

Almost surely, 212974988000 is an apocalyptic number.

12974988000 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 12974988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635003392).

12974988000 is an abundant number, since it is smaller than the sum of its proper divisors (34295018784).

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

12974988000 is a wasteful number, since it uses less digits than its factorization.

12974988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 12974988000 in words is "twelve billion, nine hundred seventy-four million, nine hundred eighty-eight thousand".