12681085200 has 240 divisors, whose sum is σ = 48026628480. Its totient is φ = 2798530560.

The previous prime is 12681085139. The next prime is 12681085211. The reversal of 12681085200 is 258018621.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217572 + ... + 269628.

It is an arithmetic number, because the mean of its divisors is an integer number (200110952).

Almost surely, 2^12681085200 is an apocalyptic number.

12681085200 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 12681085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24013314240).

12681085200 is an abundant number, since it is smaller than the sum of its proper divisors (35345543280).

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

12681085200 is a wasteful number, since it uses less digits than its factorization.

12681085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52114 (or 52103 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 12681085200 in words is "twelve billion, six hundred eighty-one million, eighty-five thousand, two hundred".