12820238072401 has 8 divisors (see below), whose sum is σ = 12861996684264. Its totient is φ = 12778501451520.

The previous prime is 12820238072387. The next prime is 12820238072417. The reversal of 12820238072401 is 10427083202821.

It can be written as a sum of positive squares in 4 ways, for example, as 697306832401 + 12122931240000 = 835049^2 + 3481800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12820238072401 - 2⁹ = 12820238071889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12820238072441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4329490 + ... + 6662203.

It is an arithmetic number, because the mean of its divisors is an integer number (1607749585533).

Almost surely, 2^{12820238072401} is an apocalyptic number.

It is an amenable number.

12820238072401 is a deficient number, since it is larger than the sum of its proper divisors (41758611863).

12820238072401 is a wasteful number, since it uses less digits than its factorization.

12820238072401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10995491.

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 12820238072401 in words is "twelve trillion, eight hundred twenty billion, two hundred thirty-eight million, seventy-two thousand, four hundred one".