122201102012112 has 60 divisors (see below), whose sum is σ = 342065620996164. Its totient is φ = 40725094126080.

The previous prime is 122201102012063. The next prime is 122201102012141. The reversal of 122201102012112 is 211210201102221.

122201102012112 is a `hidden beast` number, since 122 + 20 + 110 + 201 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23259168346176 + 98941933665936 = 4822776^2 + 9946956^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88967589 + ... + 90330692.

Almost surely, 2^{122201102012112} is an apocalyptic number.

122201102012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201102012112 is an abundant number, since it is smaller than the sum of its proper divisors (219864518984052).

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

122201102012112 is a wasteful number, since it uses less digits than its factorization.

122201102012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179303028 (or 179303019 counting only the distinct ones).

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

Adding to 122201102012112 its reverse (211210201102221), we get a palindrome (333411303114333).

The spelling of 122201102012112 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred two million, twelve thousand, one hundred twelve".