112120092 has 96 divisors (see below), whose sum is σ = 340032000. Its totient is φ = 31280256.

The previous prime is 112120079. The next prime is 112120093. The reversal of 112120092 is 290021211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30784 + ... + 34232.

It is an arithmetic number, because the mean of its divisors is an integer number (3542000).

Almost surely, 2^112120092 is an apocalyptic number.

112120092 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 112120092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170016000).

112120092 is an abundant number, since it is smaller than the sum of its proper divisors (227911908).

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

112120092 is a wasteful number, since it uses less digits than its factorization.

112120092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 112120092 is about 10588.6775378231. The cubic root of 112120092 is about 482.2006762970.

The spelling of 112120092 in words is "one hundred twelve million, one hundred twenty thousand, ninety-two".