126244400 has 60 divisors (see below), whose sum is σ = 313116864. Its totient is φ = 48864000.

The previous prime is 126244399. The next prime is 126244403. The reversal of 126244400 is 4442621.

It is not an unprimeable number, because it can be changed into a prime (126244403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7310 + ... + 17490.

Almost surely, 2^126244400 is an apocalyptic number.

126244400 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 126244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156558432).

126244400 is an abundant number, since it is smaller than the sum of its proper divisors (186872464).

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

126244400 is a wasteful number, since it uses less digits than its factorization.

126244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 126244400 is about 11235.8533276294. The cubic root of 126244400 is about 501.6537243613.

The spelling of 126244400 in words is "one hundred twenty-six million, two hundred forty-four thousand, four hundred".