111811682720 has 96 divisors (see below), whose sum is σ = 268651385856. Its totient is φ = 43969536000.

The previous prime is 111811682701. The next prime is 111811682729. The reversal of 111811682720 is 27286118111.

It is a happy number.

111811682720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111811682729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319665 + ... + 2367375.

It is an arithmetic number, because the mean of its divisors is an integer number (2798451936).

Almost surely, 2^111811682720 is an apocalyptic number.

111811682720 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 111811682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325692928).

111811682720 is an abundant number, since it is smaller than the sum of its proper divisors (156839703136).

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

111811682720 is a wasteful number, since it uses less digits than its factorization.

111811682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47974 (or 47966 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 38.

The spelling of 111811682720 in words is "one hundred eleven billion, eight hundred eleven million, six hundred eighty-two thousand, seven hundred twenty".