122435350510401 has 24 divisors (see below), whose sum is σ = 177049236574080. Its totient is φ = 81532105855200.

The previous prime is 122435350510391. The next prime is 122435350510457. The reversal of 122435350510401 is 104015053534221.

122435350510401 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 53 + 50 + 510 + 40 + 1 = 666.

It is not a de Polignac number, because 122435350510401 - 2¹¹ = 122435350508353 is a prime.

It is a super-2 number, since 2×122435350510401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122435350510301) 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, 422423391 + ... + 422713131.

It is an arithmetic number, because the mean of its divisors is an integer number (7377051523920).

Almost surely, 2^{122435350510401} is an apocalyptic number.

It is an amenable number.

122435350510401 is a deficient number, since it is larger than the sum of its proper divisors (54613886063679).

122435350510401 is a wasteful number, since it uses less digits than its factorization.

122435350510401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342197 (or 342194 counting only the distinct ones).

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

The spelling of 122435350510401 in words is "one hundred twenty-two trillion, four hundred thirty-five billion, three hundred fifty million, five hundred ten thousand, four hundred one".