12105280576 has 63 divisors (see below), whose sum is σ = 25549140799. Its totient is φ = 5689561088.

The previous prime is 12105280549. The next prime is 12105280597. The reversal of 12105280576 is 67508250121.

The square root of 12105280576 is 110024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5352385600 + 6752894976 = 73160^2 + 82176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14962860 + ... + 14963668.

Almost surely, 2^12105280576 is an apocalyptic number.

12105280576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12105280576 is the 110024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105280576

12105280576 is an abundant number, since it is smaller than the sum of its proper divisors (13443860223).

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

12105280576 is an frugal number, since it uses more digits than its factorization.

12105280576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

It can be divided in two parts, 12105 and 280576, that added together give a square (292681 = 541²).

The spelling of 12105280576 in words is "twelve billion, one hundred five million, two hundred eighty thousand, five hundred seventy-six".