112129952 has 48 divisors (see below), whose sum is σ = 241696224. Its totient is φ = 50784000.

The previous prime is 112129949. The next prime is 112129961. The reversal of 112129952 is 259921211.

It is a super-2 number, since 2×112129952² = 25146252271044608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161927 + ... + 162617.

It is an arithmetic number, because the mean of its divisors is an integer number (5035338).

Almost surely, 2^112129952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120848112).

112129952 is an abundant number, since it is smaller than the sum of its proper divisors (129566272).

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

112129952 is a wasteful number, since it uses less digits than its factorization.

112129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 3240, while the sum is 32.

The square root of 112129952 is about 10589.1431192519. The cubic root of 112129952 is about 482.2148110199.

The spelling of 112129952 in words is "one hundred twelve million, one hundred twenty-nine thousand, nine hundred fifty-two".