12028764999001 has 9 divisors (see below), whose sum is σ = 12315161957151. Its totient is φ = 11748880611552.

The previous prime is 12028764998981. The next prime is 12028764999109. The reversal of 12028764999001 is 10099946782021.

The square root of 12028764999001 is 3468251.

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

12028764999001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12028168467225 + 596531776 = 3468165^2 + 24424^2 .

It is not a de Polignac number, because 12028764999001 - 2¹¹ = 12028764996953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12028774999001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149094465 + ... + 149175121.

Almost surely, 2^{12028764999001} is an apocalyptic number.

12028764999001 is the 3468251-st square number.

12028764999001 is the 1734126-th centered octagonal number.

It is an amenable number.

12028764999001 is a deficient number, since it is larger than the sum of its proper divisors (286396958150).

12028764999001 is an frugal number, since it uses more digits than its factorization.

12028764999001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161400 (or 80700 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 12028764999001 in words is "twelve trillion, twenty-eight billion, seven hundred sixty-four million, nine hundred ninety-nine thousand, one".