122633056 has 96 divisors (see below), whose sum is σ = 310238208. Its totient is φ = 46379520.

The previous prime is 122633047. The next prime is 122633057. The reversal of 122633056 is 650336221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122633057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66061 + ... + 67891.

It is an arithmetic number, because the mean of its divisors is an integer number (3231648).

Almost surely, 2^122633056 is an apocalyptic number.

122633056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155119104).

122633056 is an abundant number, since it is smaller than the sum of its proper divisors (187605152).

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

122633056 is a wasteful number, since it uses less digits than its factorization.

122633056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 122633056 is about 11073.9810366462. The cubic root of 122633056 is about 496.8239427041.

Adding to 122633056 its reverse (650336221), we get a palindrome (772969277).

The spelling of 122633056 in words is "one hundred twenty-two million, six hundred thirty-three thousand, fifty-six".