122311143113355 has 48 divisors (see below), whose sum is σ = 256545053129664. Its totient is φ = 52624626278400.

The previous prime is 122311143113227. The next prime is 122311143113359. The reversal of 122311143113355 is 553311341113221.

122311143113355 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 1 + 1 + 4 + 311 + 335 + 5 = 666.

It is not a de Polignac number, because 122311143113355 - 2⁷ = 122311143113227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122311143113359) 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, 11420269446 + ... + 11420280155.

It is an arithmetic number, because the mean of its divisors is an integer number (5344688606868).

Almost surely, 2^{122311143113355} is an apocalyptic number.

122311143113355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122311143113355 is an abundant number, since it is smaller than the sum of its proper divisors (134233910016309).

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

122311143113355 is a wasteful number, since it uses less digits than its factorization.

122311143113355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22840549636 (or 22840549633 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 122311143113355 its reverse (553311341113221), we get a palindrome (675622484226576).

The spelling of 122311143113355 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-three million, one hundred thirteen thousand, three hundred fifty-five".