113442120 has 192 divisors, whose sum is σ = 417493440. Its totient is φ = 27475200.

The previous prime is 113442097. The next prime is 113442143. The reversal of 113442120 is 21244311.

It is an interprime number because it is at equal distance from previous prime (113442097) and next prime (113442143).

It is a super-2 number, since 2×113442120² = 25738229180188800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113442093 and 113442102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106390 + ... + 107450.

It is an arithmetic number, because the mean of its divisors is an integer number (2174445).

Almost surely, 2^113442120 is an apocalyptic number.

113442120 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 113442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208746720).

113442120 is an abundant number, since it is smaller than the sum of its proper divisors (304051320).

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

113442120 is a wasteful number, since it uses less digits than its factorization.

113442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 113442120 is about 10650.9210869295. The cubic root of 113442120 is about 484.0885137390.

Adding to 113442120 its reverse (21244311), we get a palindrome (134686431).

The spelling of 113442120 in words is "one hundred thirteen million, four hundred forty-two thousand, one hundred twenty".