122450227200 has 1872 divisors, whose sum is σ = 561957643520. Its totient is φ = 25798901760.

The previous prime is 122450227157. The next prime is 122450227213. The reversal of 122450227200 is 2722054221.

122450227200 is a `hidden beast` number, since 1 + 2 + 2 + 450 + 2 + 2 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3309465582 + ... + 3309465618.

Almost surely, 2^122450227200 is an apocalyptic number.

122450227200 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 122450227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280978821760).

122450227200 is an abundant number, since it is smaller than the sum of its proper divisors (439507416320).

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

122450227200 is an equidigital number, since it uses as much as digits as its factorization.

122450227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 122450227200 in words is "one hundred twenty-two billion, four hundred fifty million, two hundred twenty-seven thousand, two hundred".