1272126465 has 40 divisors (see below), whose sum is σ = 2301405480. Its totient is φ = 672219648.

The previous prime is 1272126451. The next prime is 1272126503. The reversal of 1272126465 is 5646212721.

It is a happy number.

1272126465 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 2 + 646 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 554743809 + 717382656 = 23553^2 + 26784^2 .

It is not a de Polignac number, because 1272126465 - 2⁵ = 1272126433 is a prime.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29737 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (57535137).

Almost surely, 2^1272126465 is an apocalyptic number.

1272126465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1272126465 is a deficient number, since it is larger than the sum of its proper divisors (1029279015).

1272126465 is a wasteful number, since it uses less digits than its factorization.

1272126465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28943 (or 28934 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1272126465 is about 35666.8819074502. The cubic root of 1272126465 is about 1083.5362097892.

The spelling of 1272126465 in words is "one billion, two hundred seventy-two million, one hundred twenty-six thousand, four hundred sixty-five".