122633632 has 48 divisors (see below), whose sum is σ = 265410432. Its totient is φ = 55313920.

The previous prime is 122633629. The next prime is 122633639. The reversal of 122633632 is 236336221.

It is a super-2 number, since 2×122633632² = 30078015395022848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122633632.

It is not an unprimeable number, because it can be changed into a prime (122633639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46953 + ... + 49495.

It is an arithmetic number, because the mean of its divisors is an integer number (5529384).

Almost surely, 2^122633632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132705216).

122633632 is an abundant number, since it is smaller than the sum of its proper divisors (142776800).

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

122633632 is a wasteful number, since it uses less digits than its factorization.

122633632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 122633632 is about 11074.0070435231. The cubic root of 122633632 is about 496.8247205535.

Adding to 122633632 its reverse (236336221), we get a palindrome (358969853).

The spelling of 122633632 in words is "one hundred twenty-two million, six hundred thirty-three thousand, six hundred thirty-two".