122113120311000 has 1536 divisors, whose sum is σ = 525194834411520. Its totient is φ = 24901240320000.

The previous prime is 122113120310977. The next prime is 122113120311031. The reversal of 122113120311000 is 113021311221.

122113120311000 is a `hidden beast` number, since 1 + 221 + 1 + 312 + 0 + 31 + 100 + 0 = 666.

It is a super-2 number, since 2×122113120311000² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4575739657 + ... + 4575766343.

It is an arithmetic number, because the mean of its divisors is an integer number (341923720320).

Almost surely, 2^{122113120311000} is an apocalyptic number.

122113120311000 is a gapful number since it is divisible by the number (10) 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 122113120311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262597417205760).

122113120311000 is an abundant number, since it is smaller than the sum of its proper divisors (403081714100520).

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

122113120311000 is a wasteful number, since it uses less digits than its factorization.

122113120311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26922 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113120311000 its reverse (113021311221), we get a palindrome (122226141622221).

The spelling of 122113120311000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty million, three hundred eleven thousand".