12379505400 has 480 divisors, whose sum is σ = 46182312000. Its totient is φ = 3062292480.

The previous prime is 12379505387. The next prime is 12379505447. The reversal of 12379505400 is 450597321.

12379505400 is a `hidden beast` number, since 1 + 23 + 7 + 95 + 0 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21756316 + ... + 21756884.

It is an arithmetic number, because the mean of its divisors is an integer number (96213150).

Almost surely, 2^12379505400 is an apocalyptic number.

12379505400 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 12379505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091156000).

12379505400 is an abundant number, since it is smaller than the sum of its proper divisors (33802806600).

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

12379505400 is a wasteful number, since it uses less digits than its factorization.

12379505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12379505400 in words is "twelve billion, three hundred seventy-nine million, five hundred five thousand, four hundred".