112426920 has 128 divisors (see below), whose sum is σ = 384048000. Its totient is φ = 29237760.

The previous prime is 112426901. The next prime is 112426931. The reversal of 112426920 is 29624211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43011 + ... + 45549.

It is an arithmetic number, because the mean of its divisors is an integer number (3000375).

Almost surely, 2^112426920 is an apocalyptic number.

112426920 is a gapful number since it is divisible by the number (10) 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 112426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

112426920 is an abundant number, since it is smaller than the sum of its proper divisors (271621080).

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

112426920 is a wasteful number, since it uses less digits than its factorization.

112426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112426920 is about 10603.1561339065. The cubic root of 112426920 is about 482.6401393430.

The spelling of 112426920 in words is "one hundred twelve million, four hundred twenty-six thousand, nine hundred twenty".