122111202002112 has 168 divisors, whose sum is σ = 372998326611456. Its totient is φ = 38105623125504.

The previous prime is 122111202002107. The next prime is 122111202002113. The reversal of 122111202002112 is 211200202111221.

122111202002112 is a `hidden beast` number, since 1 + 221 + 11 + 20 + 200 + 211 + 2 = 666.

It is a super-2 number, since 2×122111202002112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122111202002113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97434058 + ... + 98679369.

It is an arithmetic number, because the mean of its divisors is an integer number (2220228134592).

Almost surely, 2^{122111202002112} is an apocalyptic number.

122111202002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111202002112 is an abundant number, since it is smaller than the sum of its proper divisors (250887124609344).

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

122111202002112 is a wasteful number, since it uses less digits than its factorization.

122111202002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196113515 (or 196113502 counting only the distinct ones).

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

Adding to 122111202002112 its reverse (211200202111221), we get a palindrome (333311404113333).

The spelling of 122111202002112 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred two million, two thousand, one hundred twelve".