111202022211984 has 240 divisors, whose sum is σ = 339799769172864. Its totient is φ = 33668154777600.

The previous prime is 111202022211979. The next prime is 111202022212033. The reversal of 111202022211984 is 489112220202111.

111202022211984 is a `hidden beast` number, since 111 + 202 + 0 + 222 + 119 + 8 + 4 = 666.

111202022211984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13626024864 + ... + 13626033024.

Almost surely, 2^{111202022211984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111202022211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169899884586432).

111202022211984 is an abundant number, since it is smaller than the sum of its proper divisors (228597746960880).

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

111202022211984 is a wasteful number, since it uses less digits than its factorization.

111202022211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14646 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 111202022211984 in words is "one hundred eleven trillion, two hundred two billion, twenty-two million, two hundred eleven thousand, nine hundred eighty-four".