12123600840 has 576 divisors, whose sum is σ = 45653025600. Its totient is φ = 2772329472.

The previous prime is 12123600809. The next prime is 12123600851. The reversal of 12123600840 is 4800632121.

12123600840 is a `hidden beast` number, since 1 + 2 + 12 + 3 + 600 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146067439 + ... + 146067521.

It is an arithmetic number, because the mean of its divisors is an integer number (79258725).

Almost surely, 2^12123600840 is an apocalyptic number.

12123600840 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 12123600840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826512800).

12123600840 is an abundant number, since it is smaller than the sum of its proper divisors (33529424760).

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

12123600840 is a wasteful number, since it uses less digits than its factorization.

12123600840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12123600840 in words is "twelve billion, one hundred twenty-three million, six hundred thousand, eight hundred forty".