122232040232221 has 8 divisors (see below), whose sum is σ = 123444036688824. Its totient is φ = 121020078643200.

The previous prime is 122232040232209. The next prime is 122232040232261.

It is a happy number.

122232040232221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 93395022092100 + 28837018140121 = 9664110^2 + 5370011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122232040232221 - 2²³ = 122232031843613 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122232040232221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232040232261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1642600 + ... + 15721393.

It is an arithmetic number, because the mean of its divisors is an integer number (15430504586103).

Almost surely, 2^{122232040232221} is an apocalyptic number.

It is an amenable number.

122232040232221 is a deficient number, since it is larger than the sum of its proper divisors (1211996456603).

122232040232221 is a wasteful number, since it uses less digits than its factorization.

122232040232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17433791.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 122232040232221 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, forty million, two hundred thirty-two thousand, two hundred twenty-one".