12761485200 has 360 divisors, whose sum is σ = 48633949728. Its totient is φ = 3202467840.

The previous prime is 12761485171. The next prime is 12761485207. The reversal of 12761485200 is 258416721.

12761485200 is a `hidden beast` number, since 12 + 7 + 614 + 8 + 5 + 20 + 0 = 666.

12761485200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12761485207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1648539 + ... + 1656261.

Almost surely, 2^12761485200 is an apocalyptic number.

12761485200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12761485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24316974864).

12761485200 is an abundant number, since it is smaller than the sum of its proper divisors (35872464528).

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

12761485200 is a wasteful number, since it uses less digits than its factorization.

12761485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12761485200 in words is "twelve billion, seven hundred sixty-one million, four hundred eighty-five thousand, two hundred".