122200400 has 120 divisors (see below), whose sum is σ = 353340480. Its totient is φ = 39674880.

The previous prime is 122200391. The next prime is 122200409. The reversal of 122200400 is 4002221.

It is an interprime number because it is at equal distance from previous prime (122200391) and next prime (122200409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52052 + ... + 54348.

It is an arithmetic number, because the mean of its divisors is an integer number (2944504).

Almost surely, 2^122200400 is an apocalyptic number.

122200400 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 122200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176670240).

122200400 is an abundant number, since it is smaller than the sum of its proper divisors (231140080).

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

122200400 is a wasteful number, since it uses less digits than its factorization.

122200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122200400 is about 11054.4289766591. The cubic root of 122200400 is about 496.2389803973.

Adding to 122200400 its reverse (4002221), we get a palindrome (126202621).

The spelling of 122200400 in words is "one hundred twenty-two million, two hundred thousand, four hundred".