712334312001 has 243 divisors, whose sum is σ = 1268051294601. Its totient is φ = 385025591808.

The previous prime is 712334311991. The next prime is 712334312003. The reversal of 712334312001 is 100213433217.

It is a happy number.

The square root of 712334312001 is 843999.

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

712334312001 is a `hidden beast` number, since 7 + 1 + 23 + 3 + 431 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6431879601 + 705902432400 = 80199^2 + 840180^2 .

It is not a de Polignac number, because 712334312001 - 2⁹ = 712334311489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (712334312003) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10631855370 + ... + 10631855436.

Almost surely, 2^712334312001 is an apocalyptic number.

712334312001 is the 843999-th square number.

712334312001 is the 422000-th centered octagonal number.

It is an amenable number.

712334312001 is a deficient number, since it is larger than the sum of its proper divisors (555716982600).

712334312001 is a wasteful number, since it uses less digits than its factorization.

712334312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 712334312001 its reverse (100213433217), we get a palindrome (812547745218).

The spelling of 712334312001 in words is "seven hundred twelve billion, three hundred thirty-four million, three hundred twelve thousand, one".