12054152104281 has 81 divisors (see below), whose sum is σ = 20980441854333. Its totient is φ = 6649400116800.

The previous prime is 12054152104237. The next prime is 12054152104283. The reversal of 12054152104281 is 18240125145021.

The square root of 12054152104281 is 3471909.

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

12054152104281 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 4 + 15 + 210 + 428 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1913493990681 + 10140658113600 = 1383291^2 + 3184440^2 .

It is not a de Polignac number, because 12054152104281 - 2¹³ = 12054152096089 is a prime.

It is a super-2 number, since 2×12054152104281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12054152104283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2114389731 + ... + 2114395431.

Almost surely, 2^{12054152104281} is an apocalyptic number.

12054152104281 is the 3471909-th square number.

12054152104281 is the 1735955-th centered octagonal number.

It is an amenable number.

12054152104281 is a deficient number, since it is larger than the sum of its proper divisors (8926289750052).

12054152104281 is an frugal number, since it uses more digits than its factorization.

12054152104281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 12054152104281 by its sum of digits (36), we get a square (433949475754116 = 20831454²).

The spelling of 12054152104281 in words is "twelve trillion, fifty-four billion, one hundred fifty-two million, one hundred four thousand, two hundred eighty-one".