122227200 has 180 divisors, whose sum is σ = 437829678. Its totient is φ = 32563200.

The previous prime is 122227187. The next prime is 122227201. The reversal of 122227200 is 2722221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 98724096 + 23503104 = 9936^2 + 4848^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (122227201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114670 + ... + 115730.

Almost surely, 2^122227200 is an apocalyptic number.

122227200 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 122227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218914839).

122227200 is an abundant number, since it is smaller than the sum of its proper divisors (315602478).

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

122227200 is a wasteful number, since it uses less digits than its factorization.

122227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1071 counting only the distinct ones).

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

The square root of 122227200 is about 11055.6410940298. The cubic root of 122227200 is about 496.2752547809.

Adding to 122227200 its reverse (2722221), we get a palindrome (124949421).

The spelling of 122227200 in words is "one hundred twenty-two million, two hundred twenty-seven thousand, two hundred".