12612188416 has 27 divisors (see below), whose sum is σ = 25178697691. Its totient is φ = 6305195776.

The previous prime is 12612188389. The next prime is 12612188503. The reversal of 12612188416 is 61488121621.

The square root of 12612188416 is 112304.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1793355 + ... + 1800373.

Almost surely, 2^12612188416 is an apocalyptic number.

12612188416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12612188416 is the 112304-th square number.

It is an amenable number.

12612188416 is a deficient number, since it is larger than the sum of its proper divisors (12566509275).

12612188416 is an frugal number, since it uses more digits than its factorization.

12612188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054 (or 7021 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

Multiplying 12612188416 by its product of digits (36864), we get a square (464935713767424 = 21562368²).

The spelling of 12612188416 in words is "twelve billion, six hundred twelve million, one hundred eighty-eight thousand, four hundred sixteen".