122121200 has 60 divisors (see below), whose sum is σ = 310672080. Its totient is φ = 45972480.

The previous prime is 122121199. The next prime is 122121203. The reversal of 122121200 is 2121221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2180 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (5177868).

Almost surely, 2^122121200 is an apocalyptic number.

122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121200 is an abundant number, since it is smaller than the sum of its proper divisors (188550880).

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

122121200 is a wasteful number, since it uses less digits than its factorization.

122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122121200 is about 11050.8461214515. The cubic root of 122121200 is about 496.1317504671.

Adding to 122121200 its reverse (2121221), we get a palindrome (124242421).

It can be divided in two parts, 12 and 2121200, that added together give a palindrome (2121212).

The spelling of 122121200 in words is "one hundred twenty-two million, one hundred twenty-one thousand, two hundred".