12908170800 has 480 divisors, whose sum is σ = 53006607360. Its totient is φ = 2922393600.

The previous prime is 12908170787. The next prime is 12908170801. The reversal of 12908170800 is 807180921.

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 (12908170801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8542045 + ... + 8543555.

It is an arithmetic number, because the mean of its divisors is an integer number (110430432).

Almost surely, 2^12908170800 is an apocalyptic number.

12908170800 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 12908170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503303680).

12908170800 is an abundant number, since it is smaller than the sum of its proper divisors (40098436560).

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

12908170800 is a wasteful number, since it uses less digits than its factorization.

12908170800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12908170800 in words is "twelve billion, nine hundred eight million, one hundred seventy thousand, eight hundred".