12077468928 has 432 divisors, whose sum is σ = 42073368960. Its totient is φ = 3347398656.

The previous prime is 12077468927. The next prime is 12077468951. The reversal of 12077468928 is 82986477021.

It is a happy number.

12077468928 is a `hidden beast` number, since 1 + 20 + 77 + 468 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077468927) 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, 106880200 + ... + 106880312.

Almost surely, 2^12077468928 is an apocalyptic number.

12077468928 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 12077468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036684480).

12077468928 is an abundant number, since it is smaller than the sum of its proper divisors (29995900032).

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

12077468928 is an equidigital number, since it uses as much as digits as its factorization.

12077468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12077468928 in words is "twelve billion, seventy-seven million, four hundred sixty-eight thousand, nine hundred twenty-eight".