122134202431221 has 16 divisors (see below), whose sum is σ = 167322410809344. Its totient is φ = 79186386654144.

The previous prime is 122134202431201. The next prime is 122134202431237.

122134202431221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122134202431221 - 2³⁴ = 122117022562037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122134202431201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248355381 + ... + 248846666.

It is an arithmetic number, because the mean of its divisors is an integer number (10457650675584).

Almost surely, 2^{122134202431221} is an apocalyptic number.

It is an amenable number.

122134202431221 is a deficient number, since it is larger than the sum of its proper divisors (45188208378123).

122134202431221 is a wasteful number, since it uses less digits than its factorization.

122134202431221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497204300.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 12213420 and 2431221, that added together give a palindrome (14644641).

The spelling of 122134202431221 in words is "one hundred twenty-two trillion, one hundred thirty-four billion, two hundred two million, four hundred thirty-one thousand, two hundred twenty-one".