12079411200 has 624 divisors, whose sum is σ = 47168364960. Its totient is φ = 3019898880.

The previous prime is 12079411199. The next prime is 12079411213. The reversal of 12079411200 is 211497021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47001472 + ... + 47001728.

Almost surely, 2^12079411200 is an apocalyptic number.

12079411200 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 12079411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584182480).

12079411200 is an abundant number, since it is smaller than the sum of its proper divisors (35088953760).

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

12079411200 is a wasteful number, since it uses less digits than its factorization.

12079411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12079411200 in words is "twelve billion, seventy-nine million, four hundred eleven thousand, two hundred".