12105280512 has 396 divisors, whose sum is σ = 39556293504. Its totient is φ = 3544104960.

The previous prime is 12105280501. The next prime is 12105280519. The reversal of 12105280512 is 21508250121.

It is a happy number.

12105280512 is a `hidden beast` number, since 1 + 21 + 0 + 52 + 80 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (12105280519) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63378337 + ... + 63378527.

Almost surely, 2^12105280512 is an apocalyptic number.

12105280512 is a gapful number since it is divisible by the number (12) 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 12105280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778146752).

12105280512 is an abundant number, since it is smaller than the sum of its proper divisors (27451012992).

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

12105280512 is a wasteful number, since it uses less digits than its factorization.

12105280512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 12105280512 in words is "twelve billion, one hundred five million, two hundred eighty thousand, five hundred twelve".