12722400 has 288 divisors, whose sum is σ = 49996800. Its totient is φ = 3110400.

The previous prime is 12722393. The next prime is 12722417. The reversal of 12722400 is 422721.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410385 + ... + 410415.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^12722400 is an apocalyptic number.

12722400 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 12722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

12722400 is an abundant number, since it is smaller than the sum of its proper divisors (37274400).

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

12722400 is a wasteful number, since it uses less digits than its factorization.

12722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12722400 is about 3566.8473474484. The cubic root of 12722400 is about 233.4477443449.

The spelling of 12722400 in words is "twelve million, seven hundred twenty-two thousand, four hundred".