112920192 has 384 divisors, whose sum is σ = 432806400. Its totient is φ = 27371520.

The previous prime is 112920187. The next prime is 112920233. The reversal of 112920192 is 291029211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112920192² = 25501939522633728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685343 + ... + 1685409.

It is an arithmetic number, because the mean of its divisors is an integer number (1127100).

Almost surely, 2^112920192 is an apocalyptic number.

112920192 is a gapful number since it is divisible by the number (12) 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 112920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216403200).

112920192 is an abundant number, since it is smaller than the sum of its proper divisors (319886208).

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

112920192 is a wasteful number, since it uses less digits than its factorization.

112920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 112920192 is about 10626.3912971432. The cubic root of 112920192 is about 483.3449691478.

It can be divided in two parts, 1129 and 20192, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 112920192 in words is "one hundred twelve million, nine hundred twenty thousand, one hundred ninety-two".