122113101321312 has 48 divisors (see below), whose sum is σ = 339402590441712. Its totient is φ = 38309992570880.

The previous prime is 122113101321307. The next prime is 122113101321317. The reversal of 122113101321312 is 213123101311221.

It is an interprime number because it is at equal distance from previous prime (122113101321307) and next prime (122113101321317).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113101321317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37412100489 + ... + 37412103752.

It is an arithmetic number, because the mean of its divisors is an integer number (7070887300869).

Almost surely, 2^{122113101321312} is an apocalyptic number.

122113101321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113101321312 is an abundant number, since it is smaller than the sum of its proper divisors (217289489120400).

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

122113101321312 is a wasteful number, since it uses less digits than its factorization.

122113101321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74824204271 (or 74824204263 counting only the distinct ones).

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

Adding to 122113101321312 its reverse (213123101311221), we get a palindrome (335236202632533).

The spelling of 122113101321312 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, three hundred twelve".