11918981120 has 96 divisors (see below), whose sum is σ = 28711519200. Its totient is φ = 4748771328.

The previous prime is 11918981059. The next prime is 11918981131. The reversal of 11918981120 is 2118981911.

It is a super-2 number, since 2×11918981120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752397 + ... + 2756723.

It is an arithmetic number, because the mean of its divisors is an integer number (299078325).

Almost surely, 2^11918981120 is an apocalyptic number.

11918981120 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 11918981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355759600).

11918981120 is an abundant number, since it is smaller than the sum of its proper divisors (16792538080).

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

11918981120 is an equidigital number, since it uses as much as digits as its factorization.

11918981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 41.

The spelling of 11918981120 in words is "eleven billion, nine hundred eighteen million, nine hundred eighty-one thousand, one hundred twenty".