122553256221 has 12 divisors (see below), whose sum is σ = 193114222080. Its totient is φ = 74274700680.

The previous prime is 122553256157. The next prime is 122553256279. The reversal of 122553256221 is 122652355221.

122553256221 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 3 + 25 + 622 + 1 = 666.

It is not a de Polignac number, because 122553256221 - 2⁶ = 122553256157 is a prime.

It is a super-2 number, since 2×122553256221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122553256421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618955741 + ... + 618955938.

It is an arithmetic number, because the mean of its divisors is an integer number (16092851840).

Almost surely, 2^122553256221 is an apocalyptic number.

122553256221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122553256221 is a deficient number, since it is larger than the sum of its proper divisors (70560965859).

122553256221 is a wasteful number, since it uses less digits than its factorization.

122553256221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237911696 (or 1237911693 counting only the distinct ones).

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

The spelling of 122553256221 in words is "one hundred twenty-two billion, five hundred fifty-three million, two hundred fifty-six thousand, two hundred twenty-one".