1306305972072 has 48 divisors (see below), whose sum is σ = 3540511767780. Its totient is φ = 435115353600.

The previous prime is 1306305972047. The next prime is 1306305972077. The reversal of 1306305972072 is 2702795036031.

1306305972072 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 30 + 597 + 20 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1221453777636 + 84852194436 = 1105194^2 + 291294^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1306305972077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6567379 + ... + 6763362.

Almost surely, 2^{1306305972072} is an apocalyptic number.

1306305972072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306305972072 is an abundant number, since it is smaller than the sum of its proper divisors (2234205795708).

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

1306305972072 is a wasteful number, since it uses less digits than its factorization.

1306305972072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332114 (or 13332107 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1306305972072 in words is "one trillion, three hundred six billion, three hundred five million, nine hundred seventy-two thousand, seventy-two".