1272133296 has 240 divisors, whose sum is σ = 4472630400. Its totient is φ = 344227968.

The previous prime is 1272133253. The next prime is 1272133301. The reversal of 1272133296 is 6923312721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1272133296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400611 + ... + 403773.

It is an arithmetic number, because the mean of its divisors is an integer number (18635960).

Almost surely, 2^1272133296 is an apocalyptic number.

1272133296 is a gapful number since it is divisible by the number (16) 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 1272133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236315200).

1272133296 is an abundant number, since it is smaller than the sum of its proper divisors (3200497104).

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

1272133296 is a wasteful number, since it uses less digits than its factorization.

1272133296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3194 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1272133296 is about 35666.9776684260. The cubic root of 1272133296 is about 1083.5381492249.

The spelling of 1272133296 in words is "one billion, two hundred seventy-two million, one hundred thirty-three thousand, two hundred ninety-six".