122654456221 has 16 divisors (see below), whose sum is σ = 141880915008. Its totient is φ = 104793004800.

The previous prime is 122654456179. The next prime is 122654456237.

122654456221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122654456221 - 2²⁵ = 122620901789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122654456021) 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, 345390 + ... + 603823.

It is an arithmetic number, because the mean of its divisors is an integer number (8867557188).

Almost surely, 2^122654456221 is an apocalyptic number.

122654456221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122654456221 is a deficient number, since it is larger than the sum of its proper divisors (19226458787).

122654456221 is a wasteful number, since it uses less digits than its factorization.

122654456221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949932.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 122654 and 456221, that added together give a palindrome (578875).

The spelling of 122654456221 in words is "one hundred twenty-two billion, six hundred fifty-four million, four hundred fifty-six thousand, two hundred twenty-one".