122322400 has 72 divisors (see below), whose sum is σ = 301621320. Its totient is φ = 48437760.

The previous prime is 122322383. The next prime is 122322419. The reversal of 122322400 is 4223221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84886 + ... + 86314.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^122322400 is an apocalyptic number.

122322400 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 122322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

122322400 is an abundant number, since it is smaller than the sum of its proper divisors (179298920).

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

122322400 is a wasteful number, since it uses less digits than its factorization.

122322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122322400 is about 11059.9457503190. The cubic root of 122322400 is about 496.4040671986.

Adding to 122322400 its reverse (4223221), we get a palindrome (126545621).

The spelling of 122322400 in words is "one hundred twenty-two million, three hundred twenty-two thousand, four hundred".