122011102202112 has 54 divisors (see below), whose sum is σ = 351788086781222. Its totient is φ = 40670367399936.

The previous prime is 122011102202111. The next prime is 122011102202113. The reversal of 122011102202112 is 211202201110221.

122011102202112 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 10 + 220 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (122011102202111) and next prime (122011102202113).

It can be written as a sum of positive squares in only one way, i.e., 102709630699776 + 19301471502336 = 10134576^2 + 4393344^2 .

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 (122011102202111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26478101473 + ... + 26478106080.

Almost surely, 2^{122011102202112} is an apocalyptic number.

122011102202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011102202112 is an abundant number, since it is smaller than the sum of its proper divisors (229776984579110).

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

122011102202112 is an equidigital number, since it uses as much as digits as its factorization.

122011102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52956207575 (or 52956207558 counting only the distinct ones).

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

Adding to 122011102202112 its reverse (211202201110221), we get a palindrome (333213303312333).

The spelling of 122011102202112 in words is "one hundred twenty-two trillion, eleven billion, one hundred two million, two hundred two thousand, one hundred twelve".