12152886237801 has 27 divisors (see below), whose sum is σ = 17600896187901. Its totient is φ = 8080414927704.

The previous prime is 12152886237787. The next prime is 12152886237839. The reversal of 12152886237801 is 10873268825121.

It is a happy number.

The square root of 12152886237801 is 3486099.

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

12152886237801 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 8 + 8 + 623 + 7 + 8 + 0 + 1 = 666.

12152886237801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12152886237801 - 2¹⁹ = 12152885713513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12152886237301) 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, 4591191060 + ... + 4591193706.

Almost surely, 2^{12152886237801} is an apocalyptic number.

12152886237801 is the 3486099-th square number.

12152886237801 is the 1743050-th centered octagonal number.

It is an amenable number.

12152886237801 is a deficient number, since it is larger than the sum of its proper divisors (5448009950100).

12152886237801 is an frugal number, since it uses more digits than its factorization.

12152886237801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12152886237801 in words is "twelve trillion, one hundred fifty-two billion, eight hundred eighty-six million, two hundred thirty-seven thousand, eight hundred one".