12310346304 has 315 divisors, whose sum is σ = 38725162707. Its totient is φ = 3866455296.

The previous prime is 12310346299. The next prime is 12310346333. The reversal of 12310346304 is 40364301321.

The square root of 12310346304 is 110952.

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

12310346304 is a `hidden beast` number, since 1 + 2 + 3 + 10 + 346 + 304 = 666.

It is a super-2 number, since 2×12310346304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 183736479 + ... + 183736545.

Almost surely, 2^12310346304 is an apocalyptic number.

12310346304 is the 110952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310346304

12310346304 is an abundant number, since it is smaller than the sum of its proper divisors (26414816403).

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

12310346304 is an frugal number, since it uses more digits than its factorization.

12310346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 12310346304 by its product of nonzero digits (5184), we get a square (63816835239936 = 7988544²).

12310346304 divided by its product of nonzero digits (5184) gives a square (2374681 = 1541²).

Adding to 12310346304 its reverse (40364301321), we get a palindrome (52674647625).

The spelling of 12310346304 in words is "twelve billion, three hundred ten million, three hundred forty-six thousand, three hundred four".