111122220201120 has 72 divisors (see below), whose sum is σ = 379204576441236. Its totient is φ = 29632592053248.

The previous prime is 111122220201119. The next prime is 111122220201127. The reversal of 111122220201120 is 21102022221111.

111122220201120 is a `hidden beast` number, since 1 + 1 + 1 + 122 + 220 + 201 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109125685112976 + 1996535088144 = 10446324^2 + 1412988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111122220201093 and 111122220201102.

It is not an unprimeable number, because it can be changed into a prime (111122220201127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38584102797 + ... + 38584105676.

Almost surely, 2^{111122220201120} is an apocalyptic number.

111122220201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111122220201120 is an abundant number, since it is smaller than the sum of its proper divisors (268082356240116).

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

111122220201120 is a wasteful number, since it uses less digits than its factorization.

111122220201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77168208494 (or 77168208483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111122220201120 its reverse (21102022221111), we get a palindrome (132224242422231).

The spelling of 111122220201120 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred twenty million, two hundred one thousand, one hundred twenty".