221431323134122 has 8 divisors (see below), whose sum is σ = 351685042624836. Its totient is φ = 104202975592512.

The previous prime is 221431323134101. The next prime is 221431323134209.

221431323134122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207838615058881 + 13592708075241 = 14416609^2 + 3686829^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34), and also a Moran number because the ratio is a prime number: 6512685974533 = 221431323134122 / (2 + 2 + 1 + 4 + 3 + 1 + 3 + 2 + 3 + 1 + 3 + 4 + 1 + 2 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3256342987233 + ... + 3256342987300.

Almost surely, 2^{221431323134122} is an apocalyptic number.

221431323134122 is a deficient number, since it is larger than the sum of its proper divisors (130253719490714).

221431323134122 is a wasteful number, since it uses less digits than its factorization.

221431323134122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512685974552.

The product of its digits is 41472, while the sum is 34.

The spelling of 221431323134122 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-four thousand, one hundred twenty-two".