122024314125 has 72 divisors (see below), whose sum is σ = 255882612024. Its totient is φ = 55782518400.

The previous prime is 122024314079. The next prime is 122024314129. The reversal of 122024314125 is 521413420221.

122024314125 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 243 + 1 + 412 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 122005599849 = 4326^2 + 349293^2 .

It is not a de Polignac number, because 122024314125 - 2²⁰ = 122023265549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122024314129) 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, 1051672 + ... + 1161921.

It is an arithmetic number, because the mean of its divisors is an integer number (3553925167).

Almost surely, 2^122024314125 is an apocalyptic number.

122024314125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122024314125 is an abundant number, since it is smaller than the sum of its proper divisors (133858297899).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122024314125 is a wasteful number, since it uses less digits than its factorization.

122024314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213628 (or 2213608 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122024314125 its reverse (521413420221), we get a palindrome (643437734346).

The spelling of 122024314125 in words is "one hundred twenty-two billion, twenty-four million, three hundred fourteen thousand, one hundred twenty-five".