1206084971961 has 27 divisors (see below), whose sum is σ = 1838734666821. Its totient is φ = 761698341144.

The previous prime is 1206084971929. The next prime is 1206084971963. The reversal of 1206084971961 is 1691794806021.

The square root of 1206084971961 is 1098219.

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

1206084971961 is a `hidden beast` number, since 1 + 2 + 0 + 60 + 8 + 497 + 1 + 96 + 1 = 666.

It is not a de Polignac number, because 1206084971961 - 2⁵ = 1206084971929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1206084971898 and 1206084971907.

It is not an unprimeable number, because it can be changed into a prime (1206084971963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62588850 + ... + 62608116.

Almost surely, 2^{1206084971961} is an apocalyptic number.

1206084971961 is the 1098219-th square number.

1206084971961 is the 549110-th centered octagonal number.

It is an amenable number.

1206084971961 is a deficient number, since it is larger than the sum of its proper divisors (632649694860).

1206084971961 is an frugal number, since it uses more digits than its factorization.

1206084971961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38578 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1206084971961 in words is "one trillion, two hundred six billion, eighty-four million, nine hundred seventy-one thousand, nine hundred sixty-one".