3117120 has 112 divisors (see below), whose sum is σ = 10533888. Its totient is φ = 778240.

The previous prime is 3117119. The next prime is 3117151. The reversal of 3117120 is 217113.

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 3117120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16225 + ... + 16415.

Almost surely, 2^3117120 is an apocalyptic number.

3117120 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 3117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266944).

3117120 is an abundant number, since it is smaller than the sum of its proper divisors (7416768).

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

3117120 is a wasteful number, since it uses less digits than its factorization.

3117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 3117120 is about 1765.5367455819. The cubic root of 3117120 is about 146.0778967565.

The spelling of 3117120 in words is "three million, one hundred seventeen thousand, one hundred twenty".