12543104016 has 315 divisors, whose sum is σ = 39351072423. Its totient is φ = 3870581760.

The previous prime is 12543104009. The next prime is 12543104023. The reversal of 12543104016 is 61040134521.

It is a happy number.

The square root of 12543104016 is 111996.

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

12543104016 is a `hidden beast` number, since 1 + 2 + 543 + 104 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (12543104009) and next prime (12543104023).

It can be written as a sum of positive squares in 4 ways, for example, as 1157360400 + 11385743616 = 34020^2 + 106704^2 .

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

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 62 ways as a sum of consecutive naturals, for example, 205624626 + ... + 205624686.

Almost surely, 2^12543104016 is an apocalyptic number.

12543104016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12543104016 is the 111996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12543104016

12543104016 is an abundant number, since it is smaller than the sum of its proper divisors (26807968407).

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

12543104016 is an frugal number, since it uses more digits than its factorization.

12543104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12543104016 its reverse (61040134521), we get a palindrome (73583238537).

The spelling of 12543104016 in words is "twelve billion, five hundred forty-three million, one hundred four thousand, sixteen".