31116120 has 128 divisors (see below), whose sum is σ = 113011200. Its totient is φ = 6690816.

The previous prime is 31116109. The next prime is 31116139. The reversal of 31116120 is 2161113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31116120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13191 + ... + 15369.

It is an arithmetic number, because the mean of its divisors is an integer number (882900).

Almost surely, 2^31116120 is an apocalyptic number.

31116120 is a gapful number since it is divisible by the number (30) 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 31116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56505600).

31116120 is an abundant number, since it is smaller than the sum of its proper divisors (81895080).

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

31116120 is a wasteful number, since it uses less digits than its factorization.

31116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 31116120 is about 5578.1824997036. The cubic root of 31116120 is about 314.5298099760.

Adding to 31116120 its reverse (2161113), we get a palindrome (33277233).

The spelling of 31116120 in words is "thirty-one million, one hundred sixteen thousand, one hundred twenty".