12034967616 has 189 divisors, whose sum is σ = 40189617741. Its totient is φ = 3433296384.

The previous prime is 12034967597. The next prime is 12034967621. The reversal of 12034967616 is 61676943021.

The square root of 12034967616 is 109704.

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

12034967616 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 9 + 6 + 7 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2800526400 + 9234441216 = 52920^2 + 96096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18429946 + ... + 18430598.

Almost surely, 2^12034967616 is an apocalyptic number.

12034967616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12034967616 is the 109704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034967616

12034967616 is an abundant number, since it is smaller than the sum of its proper divisors (28154650125).

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

12034967616 is an frugal number, since it uses more digits than its factorization.

12034967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12034967616 in words is "twelve billion, thirty-four million, nine hundred sixty-seven thousand, six hundred sixteen".