122112101202112 has 56 divisors (see below), whose sum is σ = 291508211536640. Its totient is φ = 49579349356800.

The previous prime is 122112101202103. The next prime is 122112101202137. The reversal of 122112101202112 is 211202101211221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×122112101202112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 122112101202112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7172929764 + ... + 7172946787.

It is an arithmetic number, because the mean of its divisors is an integer number (5205503777440).

Almost surely, 2^{122112101202112} is an apocalyptic number.

It is an amenable number.

122112101202112 is an abundant number, since it is smaller than the sum of its proper divisors (169396110334528).

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

122112101202112 is a wasteful number, since it uses less digits than its factorization.

122112101202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14345876589 (or 14345876579 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122112101202112 its reverse (211202101211221), we get a palindrome (333314202413333).

The spelling of 122112101202112 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, one hundred twelve".