12106265752 has 96 divisors (see below), whose sum is σ = 27084142800. Its totient is φ = 5055595776.

The previous prime is 12106265749. The next prime is 12106265771. The reversal of 12106265752 is 25756260121.

12106265752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11950398 + ... + 11951410.

Almost surely, 2^12106265752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12106265752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542071400).

12106265752 is an abundant number, since it is smaller than the sum of its proper divisors (14977877048).

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

12106265752 is a wasteful number, since it uses less digits than its factorization.

12106265752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 12106265752 in words is "twelve billion, one hundred six million, two hundred sixty-five thousand, seven hundred fifty-two".