122311145200131 has 12 divisors (see below), whose sum is σ = 177091301818080. Its totient is φ = 81347079940560.

The previous prime is 122311145200093. The next prime is 122311145200201. The reversal of 122311145200131 is 131002541113221.

122311145200131 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 1 + 1 + 4 + 520 + 0 + 131 = 666.

It is not a de Polignac number, because 122311145200131 - 2⁹ = 122311145199619 is a prime.

It is a super-2 number, since 2×122311145200131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122311145200095 and 122311145200104.

It is not an unprimeable number, because it can be changed into a prime (122311145200031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16140289851 + ... + 16140297428.

It is an arithmetic number, because the mean of its divisors is an integer number (14757608484840).

Almost surely, 2^{122311145200131} is an apocalyptic number.

122311145200131 is a deficient number, since it is larger than the sum of its proper divisors (54780156617949).

122311145200131 is a wasteful number, since it uses less digits than its factorization.

122311145200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32280587706 (or 32280587703 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 122311145200131 its reverse (131002541113221), we get a palindrome (253313686313352).

The spelling of 122311145200131 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thousand, one hundred thirty-one".