12193683840 has 1024 divisors, whose sum is σ = 51325747200. Its totient is φ = 2707292160.

The previous prime is 12193683833. The next prime is 12193683869. The reversal of 12193683840 is 4838639121.

12193683840 is a `hidden beast` number, since 1 + 219 + 368 + 38 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118385229 + ... + 118385331.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^12193683840 is an apocalyptic number.

12193683840 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 12193683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12193683840 is an abundant number, since it is smaller than the sum of its proper divisors (39132063360).

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

12193683840 is a wasteful number, since it uses less digits than its factorization.

12193683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12193683840 in words is "twelve billion, one hundred ninety-three million, six hundred eighty-three thousand, eight hundred forty".