1272825600 has 108 divisors (see below), whose sum is σ = 4200653016. Its totient is φ = 339415040.

The previous prime is 1272825571. The next prime is 1272825629. The reversal of 1272825600 is 65282721.

It is an interprime number because it is at equal distance from previous prime (1272825571) and next prime (1272825629).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13947 + ... + 52346.

Almost surely, 2^1272825600 is an apocalyptic number.

1272825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272825600 is an abundant number, since it is smaller than the sum of its proper divisors (2927827416).

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

1272825600 is an equidigital number, since it uses as much as digits as its factorization.

1272825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66322 (or 66303 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1272825600 is about 35676.6814600237. The cubic root of 1272825600 is about 1083.7346699726.

The spelling of 1272825600 in words is "one billion, two hundred seventy-two million, eight hundred twenty-five thousand, six hundred".