12976201728 has 672 divisors, whose sum is σ = 48283977600. Its totient is φ = 3369074688.

The previous prime is 12976201727. The next prime is 12976201729. The reversal of 12976201728 is 82710267921.

It is a happy number.

12976201728 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 620 + 17 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12976201727) and next prime (12976201729).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12976201728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12976201727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447455218 + ... + 447455246.

Almost surely, 2^12976201728 is an apocalyptic number.

12976201728 is a gapful number since it is divisible by the number (18) 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 12976201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141988800).

12976201728 is an abundant number, since it is smaller than the sum of its proper divisors (35307775872).

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

12976201728 is an equidigital number, since it uses as much as digits as its factorization.

12976201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12976201728 in words is "twelve billion, nine hundred seventy-six million, two hundred one thousand, seven hundred twenty-eight".