12077688200 has 108 divisors (see below), whose sum is σ = 29708976015. Its totient is φ = 4565617920.

The previous prime is 12077688173. The next prime is 12077688269. The reversal of 12077688200 is 288677021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9889506916 + 2188181284 = 99446^2 + 46778^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77710.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29529596 + ... + 29530004.

Almost surely, 2^12077688200 is an apocalyptic number.

12077688200 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 12077688200

12077688200 is an abundant number, since it is smaller than the sum of its proper divisors (17631287815).

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

12077688200 is an equidigital number, since it uses as much as digits as its factorization.

12077688200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 12077688200 in words is "twelve billion, seventy-seven million, six hundred eighty-eight thousand, two hundred".