221241444142122 has 24 divisors (see below), whose sum is σ = 479611846751076. Its totient is φ = 73707858133056.

The previous prime is 221241444142093. The next prime is 221241444142123.

221241444142122 is a `hidden beast` number, since 2 + 2 + 1 + 24 + 1 + 4 + 4 + 414 + 212 + 2 = 666.

221241444142122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 215029640604321 + 6211803537801 = 14663889^2 + 2492349^2 .

It is not an unprimeable number, because it can be changed into a prime (221241444142123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274124803 + ... + 3274192374.

Almost surely, 2^{221241444142122} is an apocalyptic number.

221241444142122 is an abundant number, since it is smaller than the sum of its proper divisors (258370402608954).

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

221241444142122 is a wasteful number, since it uses less digits than its factorization.

221241444142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548319062 (or 6548319059 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 221241444142122 in words is "two hundred twenty-one trillion, two hundred forty-one billion, four hundred forty-four million, one hundred forty-two thousand, one hundred twenty-two".