379100131200 has 768 divisors, whose sum is σ = 1654601241600. Its totient is φ = 82880962560.

The previous prime is 379100131141. The next prime is 379100131211. The reversal of 379100131200 is 2131001973.

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 95 ways as a sum of consecutive naturals, for example, 13896774 + ... + 13924026.

It is an arithmetic number, because the mean of its divisors is an integer number (2154428700).

Almost surely, 2^379100131200 is an apocalyptic number.

379100131200 is a gapful number since it is divisible by the number (30) 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 379100131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827300620800).

379100131200 is an abundant number, since it is smaller than the sum of its proper divisors (1275501110400).

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

379100131200 is a wasteful number, since it uses less digits than its factorization.

379100131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27316 (or 27293 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 379100131200 in words is "three hundred seventy-nine billion, one hundred million, one hundred thirty-one thousand, two hundred".