122400552420401 has 16 divisors (see below), whose sum is σ = 122913899877888. Its totient is φ = 121887781142400.

The previous prime is 122400552420359. The next prime is 122400552420413. The reversal of 122400552420401 is 104024255004221.

It is a cyclic number.

It is not a de Polignac number, because 122400552420401 - 2¹⁸ = 122400552158257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122400552420481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3310520351 + ... + 3310557323.

It is an arithmetic number, because the mean of its divisors is an integer number (7682118742368).

Almost surely, 2^{122400552420401} is an apocalyptic number.

It is an amenable number.

122400552420401 is a deficient number, since it is larger than the sum of its proper divisors (513347457487).

122400552420401 is a wasteful number, since it uses less digits than its factorization.

122400552420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44392.

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 122400552420401 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, four hundred twenty thousand, four hundred one".