392000882112 has 336 divisors, whose sum is σ = 1326095879680. Its totient is φ = 108386740224.

The previous prime is 392000882111. The next prime is 392000882129. The reversal of 392000882112 is 211288000293.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×392000882112² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392000882111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18887613 + ... + 18908355.

Almost surely, 2^392000882112 is an apocalyptic number.

392000882112 is a gapful number since it is divisible by the number (32) 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 392000882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663047939840).

392000882112 is an abundant number, since it is smaller than the sum of its proper divisors (934094997568).

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

392000882112 is a wasteful number, since it uses less digits than its factorization.

392000882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20920 (or 20907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 392000882112 in words is "three hundred ninety-two billion, eight hundred eighty-two thousand, one hundred twelve".