12134763461200 has 30 divisors (see below), whose sum is σ = 29153769216494. Its totient is φ = 4853905384320.

The previous prime is 12134763461167. The next prime is 12134763461201. The reversal of 12134763461200 is 216436743121.

It can be written as a sum of positive squares in 3 ways, for example, as 356853306384 + 11777910154816 = 597372^2 + 3431896^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134763461201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15168453927 + ... + 15168454726.

Almost surely, 2^{12134763461200} is an apocalyptic number.

12134763461200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134763461200 is an abundant number, since it is smaller than the sum of its proper divisors (17019005755294).

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

12134763461200 is a wasteful number, since it uses less digits than its factorization.

12134763461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30336908671 (or 30336908660 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 12134763461200 in words is "twelve trillion, one hundred thirty-four billion, seven hundred sixty-three million, four hundred sixty-one thousand, two hundred".