112122192 has 240 divisors, whose sum is σ = 383933760. Its totient is φ = 27869184.

The previous prime is 112122187. The next prime is 112122193. The reversal of 112122192 is 291221211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122193) 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, 580848 + ... + 581040.

It is an arithmetic number, because the mean of its divisors is an integer number (1599724).

Almost surely, 2^112122192 is an apocalyptic number.

112122192 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 112122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191966880).

112122192 is an abundant number, since it is smaller than the sum of its proper divisors (271811568).

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

112122192 is a wasteful number, since it uses less digits than its factorization.

112122192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 112122192 is about 10588.7766998837. The cubic root of 112122192 is about 482.2036868044.

The spelling of 112122192 in words is "one hundred twelve million, one hundred twenty-two thousand, one hundred ninety-two".