122112112220112 has 320 divisors, whose sum is σ = 362643093356544. Its totient is φ = 34684680038400.

The previous prime is 122112112220101. The next prime is 122112112220113. The reversal of 122112112220112 is 211022211211221.

It is a super-3 number, since 3×122112112220112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112112220113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77927320353 + ... + 77927321919.

Almost surely, 2^{122112112220112} is an apocalyptic number.

122112112220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181321546678272).

122112112220112 is an abundant number, since it is smaller than the sum of its proper divisors (240530981136432).

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

122112112220112 is a wasteful number, since it uses less digits than its factorization.

122112112220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122112112220112 its reverse (211022211211221), we get a palindrome (333134323431333).

The spelling of 122112112220112 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred twelve".