122142444241221 has 48 divisors (see below), whose sum is σ = 182654791188480. Its totient is φ = 78570057348000.

The previous prime is 122142444241217. The next prime is 122142444241229.

122142444241221 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 2 + 4 + 4 + 424 + 1 + 221 = 666.

122142444241221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122142444241221 - 2² = 122142444241217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142444241229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194369436 + ... + 194996826.

It is an arithmetic number, because the mean of its divisors is an integer number (3805308149760).

Almost surely, 2^{122142444241221} is an apocalyptic number.

It is an amenable number.

122142444241221 is a deficient number, since it is larger than the sum of its proper divisors (60512346947259).

122142444241221 is a wasteful number, since it uses less digits than its factorization.

122142444241221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629478 (or 629475 counting only the distinct ones).

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

The spelling of 122142444241221 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred forty-four million, two hundred forty-one thousand, two hundred twenty-one".