12079005120 has 784 divisors, whose sum is σ = 53170165440. Its totient is φ = 2544058368.

The previous prime is 12079005067. The next prime is 12079005161. The reversal of 12079005120 is 2150097021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21228196 + ... + 21228764.

Almost surely, 2^12079005120 is an apocalyptic number.

12079005120 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 12079005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585082720).

12079005120 is an abundant number, since it is smaller than the sum of its proper divisors (41091160320).

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

12079005120 is an equidigital number, since it uses as much as digits as its factorization.

12079005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 12079005120 in words is "twelve billion, seventy-nine million, five thousand, one hundred twenty".