12621032928 has 384 divisors, whose sum is σ = 43850419200. Its totient is φ = 3455391744.

The previous prime is 12621032927. The next prime is 12621032933. The reversal of 12621032928 is 82923012621.

It is a happy number.

12621032928 is a `hidden beast` number, since 1 + 2 + 621 + 0 + 3 + 2 + 9 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12621032892 and 12621032901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12621032927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39813826 + ... + 39814142.

It is an arithmetic number, because the mean of its divisors is an integer number (114193800).

Almost surely, 2^12621032928 is an apocalyptic number.

12621032928 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 12621032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925209600).

12621032928 is an abundant number, since it is smaller than the sum of its proper divisors (31229386272).

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

12621032928 is a wasteful number, since it uses less digits than its factorization.

12621032928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12621032928 in words is "twelve billion, six hundred twenty-one million, thirty-two thousand, nine hundred twenty-eight".