12039779507200 has 264 divisors, whose sum is σ = 30704751772592. Its totient is φ = 4678997114880.

The previous prime is 12039779507149. The next prime is 12039779507279. The reversal of 12039779507200 is 270597793021.

12039779507200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125161522 + ... + 125257678.

Almost surely, 2^{12039779507200} is an apocalyptic number.

12039779507200 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 12039779507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352375886296).

12039779507200 is an abundant number, since it is smaller than the sum of its proper divisors (18664972265392).

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

12039779507200 is an equidigital number, since it uses as much as digits as its factorization.

12039779507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96327 (or 96304 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 52.

The spelling of 12039779507200 in words is "twelve trillion, thirty-nine billion, seven hundred seventy-nine million, five hundred seven thousand, two hundred".