122563657332 has 60 divisors (see below), whose sum is σ = 322744454340. Its totient is φ = 40556329344.

The previous prime is 122563657313. The next prime is 122563657339. The reversal of 122563657332 is 233756365221.

122563657332 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 636 + 5 + 7 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94099243536 + 28464413796 = 306756^2 + 168714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122563657339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1336207 + ... + 1424982.

It is an arithmetic number, because the mean of its divisors is an integer number (5379074239).

Almost surely, 2^122563657332 is an apocalyptic number.

122563657332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122563657332 is an abundant number, since it is smaller than the sum of its proper divisors (200180797008).

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

122563657332 is a wasteful number, since it uses less digits than its factorization.

122563657332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761342 (or 2761331 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 122563657332 in words is "one hundred twenty-two billion, five hundred sixty-three million, six hundred fifty-seven thousand, three hundred thirty-two".