122376800 has 216 divisors, whose sum is σ = 376882128. Its totient is φ = 37785600.

The previous prime is 122376743. The next prime is 122376803. The reversal of 122376800 is 8673221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122376803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2984780 + ... + 2984820.

Almost surely, 2^122376800 is an apocalyptic number.

122376800 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 122376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188441064).

122376800 is an abundant number, since it is smaller than the sum of its proper divisors (254505328).

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

122376800 is a wasteful number, since it uses less digits than its factorization.

122376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 122376800 is about 11062.4048018503. The cubic root of 122376800 is about 496.4776442896.

The spelling of 122376800 in words is "one hundred twenty-two million, three hundred seventy-six thousand, eight hundred".