221321444123122 has 192 divisors, whose sum is σ = 413884146023424. Its totient is φ = 88310447406720.

The previous prime is 221321444123089. The next prime is 221321444123141.

It is a happy number.

221321444123122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4258530597 + ... + 4258582567.

It is an arithmetic number, because the mean of its divisors is an integer number (2155646593872).

Almost surely, 2^{221321444123122} is an apocalyptic number.

221321444123122 is a deficient number, since it is larger than the sum of its proper divisors (192562701900302).

221321444123122 is a wasteful number, since it uses less digits than its factorization.

221321444123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52413 (or 52406 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 221321444123122 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, four hundred forty-four million, one hundred twenty-three thousand, one hundred twenty-two".