12001727851201 has 15 divisors (see below), whose sum is σ = 13202279781265. Its totient is φ = 10910280604300.

The previous prime is 12001727851189. The next prime is 12001727851219. The reversal of 12001727851201 is 10215872710021.

It is a happy number.

The square root of 12001727851201 is 3464351.

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

It is not a de Polignac number, because 12001727851201 - 2⁷ = 12001727851073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001727851901) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 419172156 + ... + 419200786.

Almost surely, 2^{12001727851201} is an apocalyptic number.

12001727851201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12001727851201 is the 3464351-st square number.

12001727851201 is the 1732176-th centered octagonal number.

It is an amenable number.

12001727851201 is a deficient number, since it is larger than the sum of its proper divisors (1200551930064).

12001727851201 is an frugal number, since it uses more digits than its factorization.

12001727851201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57306 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 37.

The spelling of 12001727851201 in words is "twelve trillion, one billion, seven hundred twenty-seven million, eight hundred fifty-one thousand, two hundred one".