113211720 has 96 divisors (see below), whose sum is σ = 375822720. Its totient is φ = 29543040.

The previous prime is 113211667. The next prime is 113211739. The reversal of 113211720 is 27112311.

113211720 = 281² + 282² + ... + 712².

It is a happy number.

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 = 113211693 and 113211702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13575 + ... + 20265.

It is an arithmetic number, because the mean of its divisors is an integer number (3914820).

Almost surely, 2^113211720 is an apocalyptic number.

113211720 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 113211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187911360).

113211720 is an abundant number, since it is smaller than the sum of its proper divisors (262611000).

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

113211720 is a wasteful number, since it uses less digits than its factorization.

113211720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 113211720 is about 10640.0996235938. The cubic root of 113211720 is about 483.7605650398.

It can be divided in two parts, 11321 and 1720, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 113211720 in words is "one hundred thirteen million, two hundred eleven thousand, seven hundred twenty".