11715120 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3055104.

The previous prime is 11715107. The next prime is 11715133. The reversal of 11715120 is 2151711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11715107) and next prime (11715133).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11715120² = 274488073228800, 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 = 11715093 and 11715102.

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, 38007 + ... + 38313.

Almost surely, 2^11715120 is an apocalyptic number.

11715120 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 11715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

11715120 is an abundant number, since it is smaller than the sum of its proper divisors (28501056).

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

11715120 is a wasteful number, since it uses less digits than its factorization.

11715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11715120 is about 3422.7357479069. The cubic root of 11715120 is about 227.1166187122.

Adding to 11715120 its reverse (2151711), we get a palindrome (13866831).

The spelling of 11715120 in words is "eleven million, seven hundred fifteen thousand, one hundred twenty".