113406120 has 96 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 30070656.

The previous prime is 113406119. The next prime is 113406131. The reversal of 113406120 is 21604311.

It is a happy number.

113406120 is a `hidden beast` number, since 1 + 13 + 40 + 612 + 0 = 666.

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 = 113406093 and 113406102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70849 + ... + 72431.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2^113406120 is an apocalyptic number.

113406120 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 113406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

113406120 is an abundant number, since it is smaller than the sum of its proper divisors (257249880).

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

113406120 is a wasteful number, since it uses less digits than its factorization.

113406120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113406120 is about 10649.2309581490. The cubic root of 113406120 is about 484.0373010434.

It can be divided in two parts, 113406 and 120, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 113406120 in words is "one hundred thirteen million, four hundred six thousand, one hundred twenty".