112624120 has 64 divisors (see below), whose sum is σ = 290980800. Its totient is φ = 38430720.

The previous prime is 112624103. The next prime is 112624121. The reversal of 112624120 is 21426211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112624121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66646 + ... + 68314.

It is an arithmetic number, because the mean of its divisors is an integer number (4546575).

Almost surely, 2^112624120 is an apocalyptic number.

112624120 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 112624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145490400).

112624120 is an abundant number, since it is smaller than the sum of its proper divisors (178356680).

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

112624120 is a wasteful number, since it uses less digits than its factorization.

112624120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 112624120 is about 10612.4511777440. The cubic root of 112624120 is about 482.9221626702.

The spelling of 112624120 in words is "one hundred twelve million, six hundred twenty-four thousand, one hundred twenty".