12105312000 has 144 divisors (see below), whose sum is σ = 40208112672. Its totient is φ = 3228057600.

The previous prime is 12105311993. The next prime is 12105312031. The reversal of 12105312000 is 21350121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32952 + ... + 159048.

Almost surely, 2^12105312000 is an apocalyptic number.

12105312000 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 12105312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104056336).

12105312000 is an abundant number, since it is smaller than the sum of its proper divisors (28102800672).

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

12105312000 is an equidigital number, since it uses as much as digits as its factorization.

12105312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126131 (or 126107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12105312000 its reverse (21350121), we get a palindrome (12126662121).

The spelling of 12105312000 in words is "twelve billion, one hundred five million, three hundred twelve thousand".