122427200 has 168 divisors, whose sum is σ = 365101632. Its totient is φ = 39444480.

The previous prime is 122427167. The next prime is 122427209. The reversal of 122427200 is 2724221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122427209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 190079 + ... + 190721.

It is an arithmetic number, because the mean of its divisors is an integer number (2173224).

Almost surely, 2^122427200 is an apocalyptic number.

122427200 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 122427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182550816).

122427200 is an abundant number, since it is smaller than the sum of its proper divisors (242674432).

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

122427200 is a wasteful number, since it uses less digits than its factorization.

122427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 122427200 is about 11064.6825530604. The cubic root of 122427200 is about 496.5457918441.

The spelling of 122427200 in words is "one hundred twenty-two million, four hundred twenty-seven thousand, two hundred".