1249728000 has 320 divisors, whose sum is σ = 4351007232. Its totient is φ = 317644800.

The previous prime is 1249727993. The next prime is 1249728043. The reversal of 1249728000 is 8279421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4415859 + ... + 4416141.

Almost surely, 2^1249728000 is an apocalyptic number.

1249728000 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 1249728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175503616).

1249728000 is an abundant number, since it is smaller than the sum of its proper divisors (3101279232).

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

1249728000 is an equidigital number, since it uses as much as digits as its factorization.

1249728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1249728000 is about 35351.4921891566. The cubic root of 1249728000 is about 1077.1392051832.

The spelling of 1249728000 in words is "one billion, two hundred forty-nine million, seven hundred twenty-eight thousand".