12057337864320 has 768 divisors, whose sum is σ = 46782692398080. Its totient is φ = 2630479380480.

The previous prime is 12057337864309. The next prime is 12057337864337. The reversal of 12057337864320 is 2346873375021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212874724 + ... + 212931356.

It is an arithmetic number, because the mean of its divisors is an integer number (60914964060).

Almost surely, 2^{12057337864320} is an apocalyptic number.

12057337864320 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 12057337864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391346199040).

12057337864320 is an abundant number, since it is smaller than the sum of its proper divisors (34725354533760).

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

12057337864320 is a wasteful number, since it uses less digits than its factorization.

12057337864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56773 (or 56754 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 12057337864320 in words is "twelve trillion, fifty-seven billion, three hundred thirty-seven million, eight hundred sixty-four thousand, three hundred twenty".