221134222431122 has 384 divisors, whose sum is σ = 463761391790592. Its totient is φ = 76922292142080.

The previous prime is 221134222431071. The next prime is 221134222431197.

It is a happy number.

221134222431122 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 191 ways as a sum of consecutive naturals, for example, 18280081778 + ... + 18280093874.

It is an arithmetic number, because the mean of its divisors is an integer number (1207711957788).

Almost surely, 2^{221134222431122} is an apocalyptic number.

221134222431122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221134222431122 is an abundant number, since it is smaller than the sum of its proper divisors (242627169359470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221134222431122 is a wasteful number, since it uses less digits than its factorization.

221134222431122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12423 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 221134222431122 in words is "two hundred twenty-one trillion, one hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-one thousand, one hundred twenty-two".