1272754010896 has 45 divisors (see below), whose sum is σ = 2494766882271. Its totient is φ = 629028145152.

The previous prime is 1272754010893. The next prime is 1272754010951. The reversal of 1272754010896 is 6980104572721.

The square root of 1272754010896 is 1128164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 730945296 + 1272023065600 = 27036^2 + 1127840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1272754010893) 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 8 ways as a sum of consecutive naturals, for example, 401624800 + ... + 401627968.

Almost surely, 2^{1272754010896} is an apocalyptic number.

1272754010896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1272754010896 is the 1128164-th square number.

It is an amenable number.

1272754010896 is a deficient number, since it is larger than the sum of its proper divisors (1222012871375).

1272754010896 is an frugal number, since it uses more digits than its factorization.

1272754010896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 1272754010896 in words is "one trillion, two hundred seventy-two billion, seven hundred fifty-four million, ten thousand, eight hundred ninety-six".