122633838 has 96 divisors (see below), whose sum is σ = 293842080. Its totient is φ = 38362896.

The previous prime is 122633789. The next prime is 122633839. The reversal of 122633838 is 838336221.

122633838 is a `hidden beast` number, since 12 + 2 + 633 + 8 + 3 + 8 = 666.

It is a super-2 number, since 2×122633838² = 30078116445220488, which contains 22 as substring.

Its product of digits (41472) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122633839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313820 + ... + 2313872.

It is an arithmetic number, because the mean of its divisors is an integer number (3060855).

Almost surely, 2^122633838 is an apocalyptic number.

122633838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122633838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146921040).

122633838 is an abundant number, since it is smaller than the sum of its proper divisors (171208242).

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

122633838 is an frugal number, since it uses more digits than its factorization.

122633838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 122633838 is about 11074.0163445789. The cubic root of 122633838 is about 496.8249987421.

The spelling of 122633838 in words is "one hundred twenty-two million, six hundred thirty-three thousand, eight hundred thirty-eight".