12271814703225 has 567 divisors, whose sum is σ = 29258951988861. Its totient is φ = 5084841484800.

The previous prime is 12271814703179. The next prime is 12271814703229. The reversal of 12271814703225 is 52230741817221.

The square root of 12271814703225 is 3503115.

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

12271814703225 is a `hidden beast` number, since 1 + 2 + 2 + 71 + 81 + 470 + 32 + 2 + 5 = 666.

12271814703225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1699198282089 + 10572616421136 = 1303533^2 + 3251556^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 12271814703225 - 2⁹ = 12271814702713 is a prime.

It is a super-2 number, since 2×12271814703225² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12271814703229) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 36414880257 + ... + 36414880593.

Almost surely, 2^{12271814703225} is an apocalyptic number.

12271814703225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12271814703225 is the 3503115-th square number.

12271814703225 is the 1751558-th centered octagonal number.

It is an amenable number.

12271814703225 is an abundant number, since it is smaller than the sum of its proper divisors (16987137285636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12271814703225 is an frugal number, since it uses more digits than its factorization.

12271814703225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12271814703225 in words is "twelve trillion, two hundred seventy-one billion, eight hundred fourteen million, seven hundred three thousand, two hundred twenty-five".