12379392000 has 576 divisors, whose sum is σ = 46506096000. Its totient is φ = 3284582400.

The previous prime is 12379391989. The next prime is 12379392017. The reversal of 12379392000 is 29397321.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62207901 + ... + 62208099.

It is an arithmetic number, because the mean of its divisors is an integer number (80739750).

Almost surely, 2^12379392000 is an apocalyptic number.

12379392000 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 12379392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253048000).

12379392000 is an abundant number, since it is smaller than the sum of its proper divisors (34126704000).

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

12379392000 is an frugal number, since it uses more digits than its factorization.

12379392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 209 counting only the distinct ones).

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

The spelling of 12379392000 in words is "twelve billion, three hundred seventy-nine million, three hundred ninety-two thousand".