12490051392 has 448 divisors, whose sum is σ = 46142656000. Its totient is φ = 3292047360.

The previous prime is 12490051369. The next prime is 12490051397. The reversal of 12490051392 is 29315009421.

12490051392 is a `hidden beast` number, since 12 + 49 + 0 + 0 + 513 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12490051392² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12490051397) 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, 7704342 + ... + 7705962.

It is an arithmetic number, because the mean of its divisors is an integer number (102997000).

Almost surely, 2^12490051392 is an apocalyptic number.

12490051392 is a gapful number since it is divisible by the number (12) 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 12490051392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071328000).

12490051392 is an abundant number, since it is smaller than the sum of its proper divisors (33652604608).

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

12490051392 is a wasteful number, since it uses less digits than its factorization.

12490051392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12490051392 in words is "twelve billion, four hundred ninety million, fifty-one thousand, three hundred ninety-two".