122314213552401 has 96 divisors (see below), whose sum is σ = 202844780716032. Its totient is φ = 70437464127360.

The previous prime is 122314213552379. The next prime is 122314213552417. The reversal of 122314213552401 is 104255312413221.

122314213552401 is a `hidden beast` number, since 1 + 2 + 2 + 31 + 4 + 213 + 5 + 5 + 2 + 401 = 666.

It is not a de Polignac number, because 122314213552401 - 2⁶ = 122314213552337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122314213552441) 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 95 ways as a sum of consecutive naturals, for example, 316378746 + ... + 316765116.

It is an arithmetic number, because the mean of its divisors is an integer number (2112966465792).

Almost surely, 2^{122314213552401} is an apocalyptic number.

It is an amenable number.

122314213552401 is a deficient number, since it is larger than the sum of its proper divisors (80530567163631).

122314213552401 is a wasteful number, since it uses less digits than its factorization.

122314213552401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388963 (or 388960 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 122314213552401 its reverse (104255312413221), we get a palindrome (226569525965622).

The spelling of 122314213552401 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred thirteen million, five hundred fifty-two thousand, four hundred one".