112180992 has 216 divisors, whose sum is σ = 380282112. Its totient is φ = 29030400.

The previous prime is 112180979. The next prime is 112180993. The reversal of 112180992 is 299081211.

It is a super-2 number, since 2×112180992² = 25169149932208128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112180993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413817 + ... + 414087.

Almost surely, 2^112180992 is an apocalyptic number.

112180992 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 112180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

112180992 is an abundant number, since it is smaller than the sum of its proper divisors (268101120).

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

112180992 is a wasteful number, since it uses less digits than its factorization.

112180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 112180992 is about 10591.5528606527. The cubic root of 112180992 is about 482.2879657542.

The spelling of 112180992 in words is "one hundred twelve million, one hundred eighty thousand, nine hundred ninety-two".