12105374883840 has 1120 divisors, whose sum is σ = 52516167321024. Its totient is φ = 2604096552960.

The previous prime is 12105374883803. The next prime is 12105374883859. The reversal of 12105374883840 is 4838847350121.

12105374883840 is a `hidden beast` number, since 1 + 21 + 0 + 537 + 4 + 8 + 8 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 394798110 + ... + 394828770.

Almost surely, 2^{12105374883840} is an apocalyptic number.

12105374883840 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 12105374883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258083660512).

12105374883840 is an abundant number, since it is smaller than the sum of its proper divisors (40410792437184).

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

12105374883840 is an equidigital number, since it uses as much as digits as its factorization.

12105374883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30728 (or 30695 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12105374883840 in words is "twelve trillion, one hundred five billion, three hundred seventy-four million, eight hundred eighty-three thousand, eight hundred forty".