1272856338 has 48 divisors (see below), whose sum is σ = 2999459736. Its totient is φ = 387763200.

The previous prime is 1272856331. The next prime is 1272856349. The reversal of 1272856338 is 8336582721.

1272856338 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 5 + 633 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1055795049 + 217061289 = 32493^2 + 14733^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1272856293 and 1272856302.

It is not an unprimeable number, because it can be changed into a prime (1272856331) 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, 3295 + ... + 50562.

Almost surely, 2^1272856338 is an apocalyptic number.

1272856338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272856338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499729868).

1272856338 is an abundant number, since it is smaller than the sum of its proper divisors (1726603398).

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

1272856338 is a wasteful number, since it uses less digits than its factorization.

1272856338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53979 (or 53976 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1272856338 is about 35677.1122430053. The cubic root of 1272856338 is about 1083.7433937569.

The spelling of 1272856338 in words is "one billion, two hundred seventy-two million, eight hundred fifty-six thousand, three hundred thirty-eight".