122415135544053 has 128 divisors (see below), whose sum is σ = 200357507750400. Its totient is φ = 73254946406400.

The previous prime is 122415135543977. The next prime is 122415135544139. The reversal of 122415135544053 is 350445531514221.

122415135544053 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 5 + 1 + 3 + 554 + 40 + 53 = 666.

It is not a de Polignac number, because 122415135544053 - 2²⁹ = 122414598673141 is a prime.

It is a super-3 number, since 3×122415135544053³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122415135540053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7151661451 + ... + 7151678567.

It is an arithmetic number, because the mean of its divisors is an integer number (1565293029300).

Almost surely, 2^{122415135544053} is an apocalyptic number.

It is an amenable number.

122415135544053 is a deficient number, since it is larger than the sum of its proper divisors (77942372206347).

122415135544053 is a wasteful number, since it uses less digits than its factorization.

122415135544053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 18254 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 122415135544053 in words is "one hundred twenty-two trillion, four hundred fifteen billion, one hundred thirty-five million, five hundred forty-four thousand, fifty-three".