712319121 has 24 divisors (see below), whose sum is σ = 1037236200. Its totient is φ = 471052800.

The previous prime is 712319119. The next prime is 712319129. The reversal of 712319121 is 121913217.

It can be written as a sum of positive squares in 4 ways, for example, as 300675600 + 411643521 = 17340^2 + 20289^2 .

It is not a de Polignac number, because 712319121 - 2¹ = 712319119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712319129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756511 + ... + 757451.

It is an arithmetic number, because the mean of its divisors is an integer number (43218175).

Almost surely, 2^712319121 is an apocalyptic number.

It is an amenable number.

712319121 is a deficient number, since it is larger than the sum of its proper divisors (324917079).

712319121 is a wasteful number, since it uses less digits than its factorization.

712319121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1534 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 712319121 is about 26689.3072409158. The cubic root of 712319121 is about 893.0824068610.

It can be divided in two parts, 7123 and 19121, that added together give a square (26244 = 162²).

The spelling of 712319121 in words is "seven hundred twelve million, three hundred nineteen thousand, one hundred twenty-one".