1272268800 has 432 divisors, whose sum is σ = 4990461840. Its totient is φ = 307200000.

The previous prime is 1272268783. The next prime is 1272268817. The reversal of 1272268800 is 88622721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1272268783) and next prime (1272268817).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5068675 + ... + 5068925.

It is an arithmetic number, because the mean of its divisors is an integer number (11551995).

Almost surely, 2^1272268800 is an apocalyptic number.

1272268800 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 1272268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495230920).

1272268800 is an abundant number, since it is smaller than the sum of its proper divisors (3718193040).

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

1272268800 is a wasteful number, since it uses less digits than its factorization.

1272268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1272268800 is about 35668.8771900659. The cubic root of 1272268800 is about 1083.5766196538.

It can be divided in two parts, 1272 and 268800, that added together give a palindrome (270072).

The spelling of 1272268800 in words is "one billion, two hundred seventy-two million, two hundred sixty-eight thousand, eight hundred".