122534302401 has 81 divisors (see below), whose sum is σ = 209523154113. Its totient is φ = 68805631440.

The previous prime is 122534302393. The next prime is 122534302421. The reversal of 122534302401 is 104203435221.

The square root of 122534302401 is 350049.

It is a perfect power (a square), and thus also a powerful number.

122534302401 is a `hidden beast` number, since 1 + 2 + 253 + 4 + 3 + 0 + 2 + 401 = 666.

It is not a de Polignac number, because 122534302401 - 2³ = 122534302393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122534302421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 580731186 + ... + 580731396.

Almost surely, 2^122534302401 is an apocalyptic number.

122534302401 is the 350049-th square number.

122534302401 is the 175025-th centered octagonal number.

It is an amenable number.

122534302401 is a deficient number, since it is larger than the sum of its proper divisors (86988851712).

122534302401 is an frugal number, since it uses more digits than its factorization.

122534302401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 122534302401 its reverse (104203435221), we get a palindrome (226737737622).

The spelling of 122534302401 in words is "one hundred twenty-two billion, five hundred thirty-four million, three hundred two thousand, four hundred one".