12057002496 has 640 divisors, whose sum is σ = 45631365120. Its totient is φ = 3052339200.

The previous prime is 12057002479. The next prime is 12057002509. The reversal of 12057002496 is 69420075021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12057002496.

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 63 ways as a sum of consecutive naturals, for example, 50028936 + ... + 50029176.

It is an arithmetic number, because the mean of its divisors is an integer number (71299008).

Almost surely, 2^12057002496 is an apocalyptic number.

12057002496 is a gapful number since it is divisible by the number (16) 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 12057002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815682560).

12057002496 is an abundant number, since it is smaller than the sum of its proper divisors (33574362624).

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

12057002496 is a wasteful number, since it uses less digits than its factorization.

12057002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12057002496 in words is "twelve billion, fifty-seven million, two thousand, four hundred ninety-six".