122113121033112 has 256 divisors, whose sum is σ = 347936233881600. Its totient is φ = 35379602496000.

The previous prime is 122113121033089. The next prime is 122113121033147. The reversal of 122113121033112 is 211330121311221.

It is a super-2 number, since 2×122113121033112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248163162 + ... + 248654742.

It is an arithmetic number, because the mean of its divisors is an integer number (1359125913600).

Almost surely, 2^{122113121033112} is an apocalyptic number.

122113121033112 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 122113121033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173968116940800).

122113121033112 is an abundant number, since it is smaller than the sum of its proper divisors (225823112848488).

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

122113121033112 is a wasteful number, since it uses less digits than its factorization.

122113121033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491998 (or 491994 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 122113121033112 its reverse (211330121311221), we get a palindrome (333443242344333).

The spelling of 122113121033112 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-one million, thirty-three thousand, one hundred twelve".