12276193987600 has 135 divisors (see below), whose sum is σ = 29657937348183. Its totient is φ = 4883260542720.

The previous prime is 12276193987459. The next prime is 12276193987639. The reversal of 12276193987600 is 678939167221.

The square root of 12276193987600 is 3503740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2776582350864 + 9499611636736 = 1666308^2 + 3082144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16747876834 + ... + 16747877566.

Almost surely, 2^{12276193987600} is an apocalyptic number.

12276193987600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12276193987600 is the 3503740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12276193987600

12276193987600 is an abundant number, since it is smaller than the sum of its proper divisors (17381743360583).

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

12276193987600 is an frugal number, since it uses more digits than its factorization.

12276193987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 12276193987600 in words is "twelve trillion, two hundred seventy-six billion, one hundred ninety-three million, nine hundred eighty-seven thousand, six hundred".