122131040131221 has 24 divisors (see below), whose sum is σ = 180763133504352. Its totient is φ = 73285952652000.

The previous prime is 122131040131207. The next prime is 122131040131241.

122131040131221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122131040131221 - 2⁶ = 122131040131157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122131040131191 and 122131040131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131040131241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665553171 + ... + 1665626496.

It is an arithmetic number, because the mean of its divisors is an integer number (7531797229348).

Almost surely, 2^{122131040131221} is an apocalyptic number.

122131040131221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122131040131221 is a deficient number, since it is larger than the sum of its proper divisors (58632093373131).

122131040131221 is a wasteful number, since it uses less digits than its factorization.

122131040131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331179793 (or 3331179782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 122131040131221 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, forty million, one hundred thirty-one thousand, two hundred twenty-one".