122351432350401 has 36 divisors (see below), whose sum is σ = 181910730000636. Its totient is φ = 79236245712000.

The previous prime is 122351432350397. The next prime is 122351432350409. The reversal of 122351432350401 is 104053234153221.

122351432350401 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 5 + 14 + 3 + 235 + 0 + 401 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33541993487025 + 88809438863376 = 5791545^2 + 9423876^2 .

It is not a de Polignac number, because 122351432350401 - 2² = 122351432350397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122351432350409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21405330 + ... + 26512091.

It is an arithmetic number, because the mean of its divisors is an integer number (5053075833351).

Almost surely, 2^{122351432350401} is an apocalyptic number.

It is an amenable number.

122351432350401 is a deficient number, since it is larger than the sum of its proper divisors (59559297650235).

122351432350401 is a wasteful number, since it uses less digits than its factorization.

122351432350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47917634 (or 47917578 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 122351432350401 in words is "one hundred twenty-two trillion, three hundred fifty-one billion, four hundred thirty-two million, three hundred fifty thousand, four hundred one".