402122345144121 has 60 divisors (see below), whose sum is σ = 739879369060788. Its totient is φ = 216267479705088.

The previous prime is 402122345144071. The next prime is 402122345144123. The reversal of 402122345144121 is 121441543221204.

402122345144121 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 2 + 234 + 5 + 1 + 4 + 412 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 288971576698896 + 113150768445225 = 16999164^2 + 10637235^2 .

It is not a de Polignac number, because 402122345144121 - 2⁹ = 402122345143609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402122345144123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2979808516 + ... + 2979943461.

Almost surely, 2^{402122345144121} is an apocalyptic number.

It is an amenable number.

402122345144121 is a deficient number, since it is larger than the sum of its proper divisors (337757023916667).

402122345144121 is a wasteful number, since it uses less digits than its factorization.

402122345144121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959752020 (or 5959752004 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 402122345144121 its reverse (121441543221204), we get a palindrome (523563888365325).

The spelling of 402122345144121 in words is "four hundred two trillion, one hundred twenty-two billion, three hundred forty-five million, one hundred forty-four thousand, one hundred twenty-one".