122325120525321 has 48 divisors (see below), whose sum is σ = 206074346608000. Its totient is φ = 69893378628192.

The previous prime is 122325120525299. The next prime is 122325120525329. The reversal of 122325120525321 is 123525021523221.

122325120525321 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 5 + 120 + 525 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 122325120525321 - 2¹⁹ = 122325120001033 is a prime.

It is a super-2 number, since 2×122325120525321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122325120525329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30451410 + ... + 34233588.

Almost surely, 2^{122325120525321} is an apocalyptic number.

It is an amenable number.

122325120525321 is a deficient number, since it is larger than the sum of its proper divisors (83749226082679).

122325120525321 is a wasteful number, since it uses less digits than its factorization.

122325120525321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792683 (or 3792666 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 122325120525321 in words is "one hundred twenty-two trillion, three hundred twenty-five billion, one hundred twenty million, five hundred twenty-five thousand, three hundred twenty-one".