12871380612900 has 144 divisors (see below), whose sum is σ = 38293989402816. Its totient is φ = 3335560865280.

The previous prime is 12871380612889. The next prime is 12871380612907. The reversal of 12871380612900 is 921608317821.

12871380612900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12871380612900.

It is not an unprimeable number, because it can be changed into a prime (12871380612907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8478622 + ... + 9880778.

It is an arithmetic number, because the mean of its divisors is an integer number (265930481964).

Almost surely, 2^{12871380612900} is an apocalyptic number.

12871380612900 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 12871380612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146994701408).

12871380612900 is an abundant number, since it is smaller than the sum of its proper divisors (25422608789916).

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

12871380612900 is a wasteful number, since it uses less digits than its factorization.

12871380612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403038 (or 1403031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 12871380612900 in words is "twelve trillion, eight hundred seventy-one billion, three hundred eighty million, six hundred twelve thousand, nine hundred".