12077172800 has 336 divisors, whose sum is σ = 37335610368. Its totient is φ = 3735398400.

The previous prime is 12077172773. The next prime is 12077172803. The reversal of 12077172800 is 827177021.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (12077172803) 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, 20574107 + ... + 20574693.

It is an arithmetic number, because the mean of its divisors is an integer number (111117888).

Almost surely, 2^12077172800 is an apocalyptic number.

12077172800 is a gapful number since it is divisible by the number (10) 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 12077172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667805184).

12077172800 is an abundant number, since it is smaller than the sum of its proper divisors (25258437568).

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

12077172800 is a wasteful number, since it uses less digits than its factorization.

12077172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 35.

The spelling of 12077172800 in words is "twelve billion, seventy-seven million, one hundred seventy-two thousand, eight hundred".