12105475200 has 1152 divisors, whose sum is σ = 55246464000. Its totient is φ = 2455142400.

The previous prime is 12105475199. The next prime is 12105475211. The reversal of 12105475200 is 257450121.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 81244726 + ... + 81244874.

It is an arithmetic number, because the mean of its divisors is an integer number (47957000).

Almost surely, 2^12105475200 is an apocalyptic number.

12105475200 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 12105475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232000).

12105475200 is an abundant number, since it is smaller than the sum of its proper divisors (43140988800).

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

12105475200 is a wasteful number, since it uses less digits than its factorization.

12105475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12105475200 in words is "twelve billion, one hundred five million, four hundred seventy-five thousand, two hundred".