12105412000 has 384 divisors, whose sum is σ = 34390137600. Its totient is φ = 4146688000.

The previous prime is 12105411961. The next prime is 12105412013. The reversal of 12105412000 is 21450121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67627911 + ... + 67628089.

It is an arithmetic number, because the mean of its divisors is an integer number (89557650).

Almost surely, 2^12105412000 is an apocalyptic number.

12105412000 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 12105412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195068800).

12105412000 is an abundant number, since it is smaller than the sum of its proper divisors (22284725600).

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

12105412000 is a wasteful number, since it uses less digits than its factorization.

12105412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12105412000 its reverse (21450121), we get a palindrome (12126862121).

The spelling of 12105412000 in words is "twelve billion, one hundred five million, four hundred twelve thousand".