122414525325 has 72 divisors (see below), whose sum is σ = 223652861640. Its totient is φ = 63981964800.

The previous prime is 122414525291. The next prime is 122414525329. The reversal of 122414525325 is 523525414221.

122414525325 is a `hidden beast` number, since 122 + 4 + 1 + 4 + 525 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28040842116 + 94373683209 = 167454^2 + 307203^2 .

It is not a de Polignac number, because 122414525325 - 2¹¹ = 122414523277 is a prime.

It is a super-3 number, since 3×122414525325³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122414525325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122414525329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11215971 + ... + 11226879.

It is an arithmetic number, because the mean of its divisors is an integer number (3106289745).

Almost surely, 2^122414525325 is an apocalyptic number.

122414525325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122414525325 is a deficient number, since it is larger than the sum of its proper divisors (101238336315).

122414525325 is a wasteful number, since it uses less digits than its factorization.

122414525325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11919 (or 11911 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 122414525325 its reverse (523525414221), we get a palindrome (645939939546).

The spelling of 122414525325 in words is "one hundred twenty-two billion, four hundred fourteen million, five hundred twenty-five thousand, three hundred twenty-five".