1272133596321 has 45 divisors (see below), whose sum is σ = 2210732053761. Its totient is φ = 726892879608.

The previous prime is 1272133596299. The next prime is 1272133596397. The reversal of 1272133596321 is 1236953312721.

The square root of 1272133596321 is 1127889.

It is a perfect power (a square), and thus also a powerful number.

1272133596321 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 3 + 3 + 5 + 9 + 632 + 1 = 666.

It is not a de Polignac number, because 1272133596321 - 2¹⁵ = 1272133563553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1272133596821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71048056 + ... + 71065958.

Almost surely, 2^{1272133596321} is an apocalyptic number.

1272133596321 is the 1127889-th square number.

1272133596321 is the 563945-th centered octagonal number.

It is an amenable number.

1272133596321 is a deficient number, since it is larger than the sum of its proper divisors (938598457440).

1272133596321 is an frugal number, since it uses more digits than its factorization.

1272133596321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35832 (or 17913 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 1272133596321 in words is "one trillion, two hundred seventy-two billion, one hundred thirty-three million, five hundred ninety-six thousand, three hundred twenty-one".