122639600 has 60 divisors (see below), whose sum is σ = 298448160. Its totient is φ = 48422400.

The previous prime is 122639599. The next prime is 122639609. The reversal of 122639600 is 6936221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122639609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29660 + ... + 33540.

It is an arithmetic number, because the mean of its divisors is an integer number (4974136).

Almost surely, 2^122639600 is an apocalyptic number.

122639600 is a gapful number since it is divisible by the number (10) 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 122639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149224080).

122639600 is an abundant number, since it is smaller than the sum of its proper divisors (175808560).

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

122639600 is a wasteful number, since it uses less digits than its factorization.

122639600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 122639600 is about 11074.2765000699. The cubic root of 122639600 is about 496.8327797940.

The spelling of 122639600 in words is "one hundred twenty-two million, six hundred thirty-nine thousand, six hundred".