1272513312 has 144 divisors (see below), whose sum is σ = 4197840192. Its totient is φ = 358110720.

The previous prime is 1272513311. The next prime is 1272513317. The reversal of 1272513312 is 2133152721.

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 (1272513311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130362 + ... + 139782.

It is an arithmetic number, because the mean of its divisors is an integer number (29151668).

Almost surely, 2^1272513312 is an apocalyptic number.

1272513312 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 1272513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098920096).

1272513312 is an abundant number, since it is smaller than the sum of its proper divisors (2925326880).

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

1272513312 is a wasteful number, since it uses less digits than its factorization.

1272513312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9511 (or 9500 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 1272513312 is about 35672.3045512902. The cubic root of 1272513312 is about 1083.6460312214.

The spelling of 1272513312 in words is "one billion, two hundred seventy-two million, five hundred thirteen thousand, three hundred twelve".