1205847768321 has 27 divisors (see below), whose sum is σ = 2026191120993. Its totient is φ = 689042690280.

The previous prime is 1205847768313. The next prime is 1205847768329. The reversal of 1205847768321 is 1238677485021.

The square root of 1205847768321 is 1098111.

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

1205847768321 is a `hidden beast` number, since 1 + 20 + 58 + 477 + 6 + 83 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (1205847768313) and next prime (1205847768329).

It is not a de Polignac number, because 1205847768321 - 2³ = 1205847768313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1205847768329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23034186 + ... + 23086476.

Almost surely, 2^{1205847768321} is an apocalyptic number.

1205847768321 is the 1098111-st square number.

1205847768321 is the 549056-th centered octagonal number.

It is an amenable number.

1205847768321 is a deficient number, since it is larger than the sum of its proper divisors (820343352672).

1205847768321 is an frugal number, since it uses more digits than its factorization.

1205847768321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104602 (or 52301 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1205847768321 in words is "one trillion, two hundred five billion, eight hundred forty-seven million, seven hundred sixty-eight thousand, three hundred twenty-one".