122311111531153 has 8 divisors (see below), whose sum is σ = 126528876570600. Its totient is φ = 118093355858688.

The previous prime is 122311111531069. The next prime is 122311111531181. The reversal of 122311111531153 is 351135111113221.

It can be written as a sum of positive squares in 4 ways, for example, as 4430321957889 + 117880789573264 = 2104833^2 + 10857292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122311111531153 - 2¹⁷ = 122311111400081 is a prime.

It is a super-2 number, since 2×122311111531153² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122311111532153) 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, 33545875 + ... + 37012807.

It is an arithmetic number, because the mean of its divisors is an integer number (15816109571325).

Almost surely, 2^{122311111531153} is an apocalyptic number.

It is an amenable number.

122311111531153 is a deficient number, since it is larger than the sum of its proper divisors (4217765039447).

122311111531153 is a wasteful number, since it uses less digits than its factorization.

122311111531153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683491.

The product of its digits is 2700, while the sum is 31.

Adding to 122311111531153 its reverse (351135111113221), we get a palindrome (473446222644374).

The spelling of 122311111531153 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred eleven million, five hundred thirty-one thousand, one hundred fifty-three".