122038800 has 120 divisors (see below), whose sum is σ = 421056384. Its totient is φ = 30036480.

The previous prime is 122038789. The next prime is 122038811. The reversal of 122038800 is 8830221.

It is an interprime number because it is at equal distance from previous prime (122038789) and next prime (122038811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11689 + ... + 19511.

Almost surely, 2^122038800 is an apocalyptic number.

122038800 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 122038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210528192).

122038800 is an abundant number, since it is smaller than the sum of its proper divisors (299017584).

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

122038800 is a wasteful number, since it uses less digits than its factorization.

122038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 122038800 is about 11047.1172710350. The cubic root of 122038800 is about 496.0201387938.

The spelling of 122038800 in words is "one hundred twenty-two million, thirty-eight thousand, eight hundred".