12984142860 has 480 divisors, whose sum is σ = 47475637440. Its totient is φ = 2942687232.

The previous prime is 12984142837. The next prime is 12984142891. The reversal of 12984142860 is 6824148921.

12984142860 is a `hidden beast` number, since 129 + 8 + 41 + 428 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14804742 + ... + 14805618.

It is an arithmetic number, because the mean of its divisors is an integer number (98907578).

Almost surely, 2^12984142860 is an apocalyptic number.

12984142860 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 12984142860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23737818720).

12984142860 is an abundant number, since it is smaller than the sum of its proper divisors (34491494580).

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

12984142860 is a wasteful number, since it uses less digits than its factorization.

12984142860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12984142860 in words is "twelve billion, nine hundred eighty-four million, one hundred forty-two thousand, eight hundred sixty".