1272787200 has 324 divisors, whose sum is σ = 4794120240. Its totient is φ = 321269760.

The previous prime is 1272787199. The next prime is 1272787207. The reversal of 1272787200 is 27872721.

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

It is not an unprimeable number, because it can be changed into a prime (1272787207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1093819 + ... + 1094981.

Almost surely, 2^1272787200 is an apocalyptic number.

1272787200 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 1272787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397060120).

1272787200 is an abundant number, since it is smaller than the sum of its proper divisors (3521333040).

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

1272787200 is a wasteful number, since it uses less digits than its factorization.

1272787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1272787200 is about 35676.1432893187. The cubic root of 1272787200 is about 1083.7237714305.

The spelling of 1272787200 in words is "one billion, two hundred seventy-two million, seven hundred eighty-seven thousand, two hundred".