122424141424221 has 192 divisors, whose sum is σ = 227090953829376. Its totient is φ = 61835249664000.

The previous prime is 122424141424171. The next prime is 122424141424267.

122424141424221 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 4 + 1 + 4 + 1 + 424 + 221 = 666.

122424141424221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122424141424221 - 2⁹ = 122424141423709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424141424421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511000941 + ... + 511240461.

It is an arithmetic number, because the mean of its divisors is an integer number (1182765384528).

Almost surely, 2^{122424141424221} is an apocalyptic number.

It is an amenable number.

122424141424221 is a deficient number, since it is larger than the sum of its proper divisors (104666812405155).

122424141424221 is a wasteful number, since it uses less digits than its factorization.

122424141424221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239852 (or 239849 counting only the distinct ones).

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

The spelling of 122424141424221 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, one hundred forty-one million, four hundred twenty-four thousand, two hundred twenty-one".