1272138824 has 48 divisors (see below), whose sum is σ = 2712282300. Its totient is φ = 558293120.

The previous prime is 1272138821. The next prime is 1272138827. The reversal of 1272138824 is 4288312721.

It is an interprime number because it is at equal distance from previous prime (1272138821) and next prime (1272138827).

It can be written as a sum of positive squares in 2 ways, for example, as 1268641924 + 3496900 = 35618^2 + 1870^2 .

It is not an unprimeable number, because it can be changed into a prime (1272138821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5414 + ... + 50730.

Almost surely, 2^1272138824 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 1272138824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356141150).

1272138824 is an abundant number, since it is smaller than the sum of its proper divisors (1440143476).

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

1272138824 is a wasteful number, since it uses less digits than its factorization.

1272138824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45374 (or 45359 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 1272138824 is about 35667.0551629932. The cubic root of 1272138824 is about 1083.5397187120.

The spelling of 1272138824 in words is "one billion, two hundred seventy-two million, one hundred thirty-eight thousand, eight hundred twenty-four".