122444400 has 240 divisors, whose sum is σ = 433972224. Its totient is φ = 29322240.

The previous prime is 122444393. The next prime is 122444401. The reversal of 122444400 is 4444221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733117 + ... + 733283.

Almost surely, 2^122444400 is an apocalyptic number.

122444400 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 122444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

122444400 is an abundant number, since it is smaller than the sum of its proper divisors (311527824).

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

122444400 is a wasteful number, since it uses less digits than its factorization.

122444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 122444400 is about 11065.4597735476. The cubic root of 122444400 is about 496.5690442687.

Adding to 122444400 its reverse (4444221), we get a palindrome (126888621).

The spelling of 122444400 in words is "one hundred twenty-two million, four hundred forty-four thousand, four hundred".