1272117344 has 48 divisors (see below), whose sum is σ = 2672828928. Its totient is φ = 593897472.

The previous prime is 1272117337. The next prime is 1272117359. The reversal of 1272117344 is 4437112721.

It is a super-2 number, since 2×1272117344² = 3236565073811228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1272117344.

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, 59882 + ... + 78294.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 2^1272117344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336414464).

1272117344 is an abundant number, since it is smaller than the sum of its proper divisors (1400711584).

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

1272117344 is a wasteful number, since it uses less digits than its factorization.

1272117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18559 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 1272117344 is about 35666.7540435067. The cubic root of 1272117344 is about 1083.5336201731.

The spelling of 1272117344 in words is "one billion, two hundred seventy-two million, one hundred seventeen thousand, three hundred forty-four".