12501764352 has 324 divisors, whose sum is σ = 45747099216. Its totient is φ = 3246888960.

The previous prime is 12501764347. The next prime is 12501764357. The reversal of 12501764352 is 25346710521.

12501764352 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 1 + 7 + 643 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12501764347) and next prime (12501764357).

It is a super-2 number, since 2×12501764352² (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 not an unprimeable number, because it can be changed into a prime (12501764357) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1236823 + ... + 1246889.

Almost surely, 2^12501764352 is an apocalyptic number.

12501764352 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 12501764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873549608).

12501764352 is an abundant number, since it is smaller than the sum of its proper divisors (33245334864).

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

12501764352 is a wasteful number, since it uses less digits than its factorization.

12501764352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12501764352 in words is "twelve billion, five hundred one million, seven hundred sixty-four thousand, three hundred fifty-two".