122345120125053 has 24 divisors (see below), whose sum is σ = 212596365800000. Its totient is φ = 66231944728704.

The previous prime is 122345120125049. The next prime is 122345120125057. The reversal of 122345120125053 is 350521021543221.

122345120125053 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 512 + 0 + 12 + 50 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (122345120125049) and next prime (122345120125057).

It is not a de Polignac number, because 122345120125053 - 2² = 122345120125049 is a prime.

It is a super-3 number, since 3×122345120125053³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122345120124999 and 122345120125017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345120125057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51104894428 + ... + 51104896821.

Almost surely, 2^{122345120125053} is an apocalyptic number.

It is an amenable number.

122345120125053 is a deficient number, since it is larger than the sum of its proper divisors (90251245674947).

122345120125053 is a wasteful number, since it uses less digits than its factorization.

122345120125053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102209791281 (or 102209791278 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 122345120125053 its reverse (350521021543221), we get a palindrome (472866141668274).

The spelling of 122345120125053 in words is "one hundred twenty-two trillion, three hundred forty-five billion, one hundred twenty million, one hundred twenty-five thousand, fifty-three".