11976120 has 128 divisors (see below), whose sum is σ = 43041600. Its totient is φ = 2944512.

The previous prime is 11976113. The next prime is 11976121. The reversal of 11976120 is 2167911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11976121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13614 + ... + 14466.

Almost surely, 2^11976120 is an apocalyptic number.

11976120 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 11976120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520800).

11976120 is an abundant number, since it is smaller than the sum of its proper divisors (31065480).

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

11976120 is a wasteful number, since it uses less digits than its factorization.

11976120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11976120 is about 3460.6531175488. The cubic root of 11976120 is about 228.7908822389.

The spelling of 11976120 in words is "eleven million, nine hundred seventy-six thousand, one hundred twenty".