122284800 has 324 divisors, whose sum is σ = 479412024. Its totient is φ = 29491200.

The previous prime is 122284787. The next prime is 122284853. The reversal of 122284800 is 8482221.

It is a super-2 number, since 2×122284800² = 29907144622080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633504 + ... + 633696.

Almost surely, 2^122284800 is an apocalyptic number.

122284800 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 122284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239706012).

122284800 is an abundant number, since it is smaller than the sum of its proper divisors (357127224).

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

122284800 is a wasteful number, since it uses less digits than its factorization.

122284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 122284800 is about 11058.2457921679. The cubic root of 122284800 is about 496.3531996942.

The spelling of 122284800 in words is "one hundred twenty-two million, two hundred eighty-four thousand, eight hundred".