122633292 has 48 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 40248000.

The previous prime is 122633279. The next prime is 122633311. The reversal of 122633292 is 292336221.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284317 + ... + 284747.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^122633292 is an apocalyptic number.

122633292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122633292 is an abundant number, since it is smaller than the sum of its proper divisors (167961012).

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

122633292 is a wasteful number, since it uses less digits than its factorization.

122633292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 122633292 is about 11073.9916922490. The cubic root of 122633292 is about 496.8242614065.

The spelling of 122633292 in words is "one hundred twenty-two million, six hundred thirty-three thousand, two hundred ninety-two".