122112012002112 has 336 divisors, whose sum is σ = 404400643949952. Its totient is φ = 34817594327040.

The previous prime is 122112012002083. The next prime is 122112012002117. The reversal of 122112012002112 is 211200210211221.

It is a super-2 number, since 2×122112012002112² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112012002117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405600628 + ... + 405901580.

Almost surely, 2^{122112012002112} is an apocalyptic number.

122112012002112 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 122112012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202200321974976).

122112012002112 is an abundant number, since it is smaller than the sum of its proper divisors (282288631947840).

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

122112012002112 is a wasteful number, since it uses less digits than its factorization.

122112012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304766 (or 304753 counting only the distinct ones).

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

Adding to 122112012002112 its reverse (211200210211221), we get a palindrome (333312222213333).

The spelling of 122112012002112 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, two thousand, one hundred twelve".