12039379200 has 324 divisors, whose sum is σ = 43302767508. Its totient is φ = 3191193600.

The previous prime is 12039379193. The next prime is 12039379211. The reversal of 12039379200 is 297393021.

It can be written as a sum of positive squares in 6 ways, for example, as 796594176 + 11242785024 = 28224^2 + 106032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11346670 + ... + 11347730.

It is an arithmetic number, because the mean of its divisors is an integer number (133650517).

Almost surely, 2^12039379200 is an apocalyptic number.

12039379200 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 12039379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651383754).

12039379200 is an abundant number, since it is smaller than the sum of its proper divisors (31263388308).

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

12039379200 is a wasteful number, since it uses less digits than its factorization.

12039379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 12039379200 in words is "twelve billion, thirty-nine million, three hundred seventy-nine thousand, two hundred".