12850984581120 has 1152 divisors, whose sum is σ = 52319358000000. Its totient is φ = 2856069365760.

The previous prime is 12850984581101. The next prime is 12850984581133. The reversal of 12850984581120 is 2118548905821.

12850984581120 is a `hidden beast` number, since 1 + 2 + 8 + 50 + 9 + 8 + 4 + 581 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10289018256 + ... + 10289019504.

It is an arithmetic number, because the mean of its divisors is an integer number (45416109375).

Almost surely, 2^{12850984581120} is an apocalyptic number.

12850984581120 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 12850984581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26159679000000).

12850984581120 is an abundant number, since it is smaller than the sum of its proper divisors (39468373418880).

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

12850984581120 is a wasteful number, since it uses less digits than its factorization.

12850984581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 12850984581120 in words is "twelve trillion, eight hundred fifty billion, nine hundred eighty-four million, five hundred eighty-one thousand, one hundred twenty".