12182483773440 has 1152 divisors, whose sum is σ = 45890784576000. Its totient is φ = 3095486005248.

The previous prime is 12182483773423. The next prime is 12182483773483. The reversal of 12182483773440 is 4437738428121.

It is a happy number.

12182483773440 is a `hidden beast` number, since 1 + 21 + 8 + 2 + 483 + 77 + 34 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5700740052 + ... + 5700742188.

It is an arithmetic number, because the mean of its divisors is an integer number (39835750500).

Almost surely, 2^{12182483773440} is an apocalyptic number.

12182483773440 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 12182483773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945392288000).

12182483773440 is an abundant number, since it is smaller than the sum of its proper divisors (33708300802560).

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

12182483773440 is an equidigital number, since it uses as much as digits as its factorization.

12182483773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 12182483773440 in words is "twelve trillion, one hundred eighty-two billion, four hundred eighty-three million, seven hundred seventy-three thousand, four hundred forty".