12105849600 has 864 divisors, whose sum is σ = 50777375040. Its totient is φ = 2795765760.

The previous prime is 12105849599. The next prime is 12105849619. The reversal of 12105849600 is 694850121.

12105849600 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 8 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38188642 + ... + 38188958.

It is an arithmetic number, because the mean of its divisors is an integer number (58770110).

Almost surely, 2^12105849600 is an apocalyptic number.

12105849600 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 12105849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25388687520).

12105849600 is an abundant number, since it is smaller than the sum of its proper divisors (38671525440).

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

12105849600 is a wasteful number, since it uses less digits than its factorization.

12105849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12105849600 in words is "twelve billion, one hundred five million, eight hundred forty-nine thousand, six hundred".