111564324561220 has 48 divisors (see below), whose sum is σ = 234875791968048. Its totient is φ = 44513219686400.

The previous prime is 111564324561139. The next prime is 111564324561257. The reversal of 111564324561220 is 22165423465111.

111564324561220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5193649565764 + 106370674995456 = 2278958^2 + 10313616^2 .

It is a super-2 number, since 2×111564324561220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326219034 + ... + 326560846.

It is an arithmetic number, because the mean of its divisors is an integer number (4893245666001).

Almost surely, 2^{111564324561220} is an apocalyptic number.

111564324561220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111564324561220 is an abundant number, since it is smaller than the sum of its proper divisors (123311467406828).

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

111564324561220 is a wasteful number, since it uses less digits than its factorization.

111564324561220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382920 (or 382918 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 111564324561220 in words is "one hundred eleven trillion, five hundred sixty-four billion, three hundred twenty-four million, five hundred sixty-one thousand, two hundred twenty".