122344400 has 30 divisors (see below), whose sum is σ = 293933382. Its totient is φ = 48937600.

The previous prime is 122344399. The next prime is 122344403. The reversal of 122344400 is 4443221.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 96983104 = 5036^2 + 9848^2 .

It is a super-2 number, since 2×122344400² = 29936304422720000, which contains 22 as substring.

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 (122344403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152531 + ... + 153330.

Almost surely, 2^122344400 is an apocalyptic number.

122344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122344400 is an abundant number, since it is smaller than the sum of its proper divisors (171588982).

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

122344400 is a wasteful number, since it uses less digits than its factorization.

122344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305879 (or 305868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 122344400 is about 11060.9402855273. The cubic root of 122344400 is about 496.4338252665.

Adding to 122344400 its reverse (4443221), we get a palindrome (126787621).

The spelling of 122344400 in words is "one hundred twenty-two million, three hundred forty-four thousand, four hundred".