122491200 has 252 divisors, whose sum is σ = 438046368. Its totient is φ = 29952000.

The previous prime is 122491189. The next prime is 122491217. The reversal of 122491200 is 2194221.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 811125 + ... + 811275.

Almost surely, 2^122491200 is an apocalyptic number.

122491200 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 122491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219023184).

122491200 is an abundant number, since it is smaller than the sum of its proper divisors (315555168).

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

122491200 is a wasteful number, since it uses less digits than its factorization.

122491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 122491200 is about 11067.5742599722. The cubic root of 122491200 is about 496.6323014724.

The spelling of 122491200 in words is "one hundred twenty-two million, four hundred ninety-one thousand, two hundred".