12057337864319 has 24 divisors (see below), whose sum is σ = 13954112302032. Its totient is φ = 10330504750080.

The previous prime is 12057337864309. The next prime is 12057337864337. The reversal of 12057337864319 is 91346873375021.

It is a de Polignac number, because none of the positive numbers 2^k-12057337864319 is a prime.

It is a super-2 number, since 2×12057337864319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057337864309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7099784 + ... + 8632589.

It is an arithmetic number, because the mean of its divisors is an integer number (581421345918).

It is a 1-persistent number, because it is pandigital, but 2⋅12057337864319 = 24114675728638 is not.

Almost surely, 2^{12057337864319} is an apocalyptic number.

12057337864319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12057337864319 is a deficient number, since it is larger than the sum of its proper divisors (1896774437713).

12057337864319 is a wasteful number, since it uses less digits than its factorization.

12057337864319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15732615 (or 15732596 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 12057337864319 in words is "twelve trillion, fifty-seven billion, three hundred thirty-seven million, eight hundred sixty-four thousand, three hundred nineteen".