1272777312 has 48 divisors (see below), whose sum is σ = 3486309120. Its totient is φ = 405812352.

The previous prime is 1272777299. The next prime is 1272777329. The reversal of 1272777312 is 2137772721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286012 + ... + 290427.

It is an arithmetic number, because the mean of its divisors is an integer number (72631440).

Almost surely, 2^1272777312 is an apocalyptic number.

1272777312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1272777312 is an abundant number, since it is smaller than the sum of its proper divisors (2213531808).

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

1272777312 is a wasteful number, since it uses less digits than its factorization.

1272777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576475 (or 576467 counting only the distinct ones).

The product of its digits is 57624, while the sum is 39.

The square root of 1272777312 is about 35676.0047090478. The cubic root of 1272777312 is about 1083.7209650205.

The spelling of 1272777312 in words is "one billion, two hundred seventy-two million, seven hundred seventy-seven thousand, three hundred twelve".