12846120840 has 192 divisors, whose sum is σ = 48729807360. Its totient is φ = 2873756160.

The previous prime is 12846120823. The next prime is 12846120841. The reversal of 12846120840 is 4802164821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12846120795 and 12846120804.

It is not an unprimeable number, because it can be changed into a prime (12846120841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64210 + ... + 172670.

It is an arithmetic number, because the mean of its divisors is an integer number (253801080).

Almost surely, 2^12846120840 is an apocalyptic number.

12846120840 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 12846120840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24364903680).

12846120840 is an abundant number, since it is smaller than the sum of its proper divisors (35883686520).

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

12846120840 is a wasteful number, since it uses less digits than its factorization.

12846120840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108532 (or 108525 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12846120840 in words is "twelve billion, eight hundred forty-six million, one hundred twenty thousand, eight hundred forty".