12105364800 has 168 divisors, whose sum is σ = 40685020992. Its totient is φ = 3149312000.

The previous prime is 12105364793. The next prime is 12105364801. The reversal of 12105364800 is 846350121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105364801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166045 + ... + 227555.

It is an arithmetic number, because the mean of its divisors is an integer number (242172744).

Almost surely, 2^12105364800 is an apocalyptic number.

12105364800 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 12105364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342510496).

12105364800 is an abundant number, since it is smaller than the sum of its proper divisors (28579656192).

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

12105364800 is a wasteful number, since it uses less digits than its factorization.

12105364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61577 (or 61562 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12105364800 in words is "twelve billion, one hundred five million, three hundred sixty-four thousand, eight hundred".