122136545631221 has 48 divisors (see below), whose sum is σ = 136385620250880. Its totient is φ = 109280622528000.

The previous prime is 122136545631211. The next prime is 122136545631229.

It is a happy number.

122136545631221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122136545631221 - 2¹⁸ = 122136545369077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122136545631229) 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, 6356964611 + ... + 6356983823.

It is an arithmetic number, because the mean of its divisors is an integer number (2841367088560).

Almost surely, 2^{122136545631221} is an apocalyptic number.

122136545631221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122136545631221 is a deficient number, since it is larger than the sum of its proper divisors (14249074619659).

122136545631221 is a wasteful number, since it uses less digits than its factorization.

122136545631221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22578 (or 22567 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The spelling of 122136545631221 in words is "one hundred twenty-two trillion, one hundred thirty-six billion, five hundred forty-five million, six hundred thirty-one thousand, two hundred twenty-one".