12190147281 has 81 divisors (see below), whose sum is σ = 20258924049. Its totient is φ = 7059109824.

The previous prime is 12190147273. The next prime is 12190147289. The reversal of 12190147281 is 18274109121.

The square root of 12190147281 is 110409.

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

12190147281 is a `hidden beast` number, since 1 + 21 + 90 + 1 + 472 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (12190147273) and next prime (12190147289).

It can be written as a sum of positive squares in 4 ways, for example, as 6597500625 + 5592646656 = 81225^2 + 74784^2 .

It is not a de Polignac number, because 12190147281 - 2³ = 12190147273 is a prime.

It is a super-2 number, since 2×12190147281² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12190147289) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81812995 + ... + 81813143.

Almost surely, 2^12190147281 is an apocalyptic number.

12190147281 is the 110409-th square number.

12190147281 is the 55205-th centered octagonal number.

It is an amenable number.

12190147281 is a deficient number, since it is larger than the sum of its proper divisors (8068776768).

12190147281 is a wasteful number, since it uses less digits than its factorization.

12190147281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 12190147281 by its sum of digits (36), we get a square (438845302116 = 662454²).

The spelling of 12190147281 in words is "twelve billion, one hundred ninety million, one hundred forty-seven thousand, two hundred eighty-one".