122047200 has 432 divisors, whose sum is σ = 497218176. Its totient is φ = 27878400.

The previous prime is 122047193. The next prime is 122047229. The reversal of 122047200 is 2740221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821567 + ... + 1821633.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^122047200 is an apocalyptic number.

122047200 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 122047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088).

122047200 is an abundant number, since it is smaller than the sum of its proper divisors (375170976).

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

122047200 is a wasteful number, since it uses less digits than its factorization.

122047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 122047200 is about 11047.4974541749. The cubic root of 122047200 is about 496.0315189821.

Adding to 122047200 its reverse (2740221), we get a palindrome (124787421).

The spelling of 122047200 in words is "one hundred twenty-two million, forty-seven thousand, two hundred".