12288146853301 has 8 divisors (see below), whose sum is σ = 13732208457408. Its totient is φ = 10898578140000.

The previous prime is 12288146853289. The next prime is 12288146853341. The reversal of 12288146853301 is 10335864188221.

12288146853301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12288146853301 - 2²¹ = 12288144756149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288146853341) 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, 13623222225 + ... + 13623223126.

It is an arithmetic number, because the mean of its divisors is an integer number (1716526057176).

Almost surely, 2^{12288146853301} is an apocalyptic number.

12288146853301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12288146853301 is a deficient number, since it is larger than the sum of its proper divisors (1444061604107).

12288146853301 is a wasteful number, since it uses less digits than its factorization.

12288146853301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27246445403.

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 12288146853301 in words is "twelve trillion, two hundred eighty-eight billion, one hundred forty-six million, eight hundred fifty-three thousand, three hundred one".