1272887712 has 144 divisors (see below), whose sum is σ = 3842354880. Its totient is φ = 398846976.

The previous prime is 1272887669. The next prime is 1272887713. The reversal of 1272887712 is 2177882721.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1272887713) 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, 389188 + ... + 392444.

It is an arithmetic number, because the mean of its divisors is an integer number (26683020).

Almost surely, 2^1272887712 is an apocalyptic number.

1272887712 is a gapful number since it is divisible by the number (12) 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 1272887712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921177440).

1272887712 is an abundant number, since it is smaller than the sum of its proper divisors (2569467168).

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

1272887712 is a wasteful number, since it uses less digits than its factorization.

1272887712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3344 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The square root of 1272887712 is about 35677.5519339542. The cubic root of 1272887712 is about 1083.7522979002.

The spelling of 1272887712 in words is "one billion, two hundred seventy-two million, eight hundred eighty-seven thousand, seven hundred twelve".