1272808810 has 48 divisors (see below), whose sum is σ = 2870128296. Its totient is φ = 402820992.

The previous prime is 1272808807. The next prime is 1272808813. The reversal of 1272808810 is 188082721.

It is an interprime number because it is at equal distance from previous prime (1272808807) and next prime (1272808813).

It can be written as a sum of positive squares in 4 ways, for example, as 1181778129 + 91030681 = 34377^2 + 9541^2 .

It is a super-2 number, since 2×1272808810² = 3240084533627232200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1272808810.

It is not an unprimeable number, because it can be changed into a prime (1272808813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93537 + ... + 106276.

Almost surely, 2^1272808810 is an apocalyptic number.

1272808810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1272808810 is an abundant number, since it is smaller than the sum of its proper divisors (1597319486).

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

1272808810 is a wasteful number, since it uses less digits than its factorization.

1272808810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199847 (or 199840 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 1272808810 is about 35676.4461514877. The cubic root of 1272808810 is about 1083.7299047256.

The spelling of 1272808810 in words is "one billion, two hundred seventy-two million, eight hundred eight thousand, eight hundred ten".