122631345 has 24 divisors (see below), whose sum is σ = 212899752. Its totient is φ = 65299200.

The previous prime is 122631317. The next prime is 122631349. The reversal of 122631345 is 543136221.

122631345 is a `hidden beast` number, since 1 + 22 + 631 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3908529 + 118722816 = 1977^2 + 10896^2 .

It is not a de Polignac number, because 122631345 - 2⁶ = 122631281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122631349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32455 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (8870823).

Almost surely, 2^122631345 is an apocalyptic number.

122631345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122631345 is a deficient number, since it is larger than the sum of its proper divisors (90268407).

122631345 is a wasteful number, since it uses less digits than its factorization.

122631345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4350 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 122631345 is about 11073.9037832194. The cubic root of 122631345 is about 496.8216320989.

Adding to 122631345 its reverse (543136221), we get a palindrome (665767566).

The spelling of 122631345 in words is "one hundred twenty-two million, six hundred thirty-one thousand, three hundred forty-five".