12010576752 has 160 divisors (see below), whose sum is σ = 35170248960. Its totient is φ = 3923562240.

The previous prime is 12010576717. The next prime is 12010576757. The reversal of 12010576752 is 25767501021.

12010576752 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 576 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010576757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4695858 + ... + 4698414.

It is an arithmetic number, because the mean of its divisors is an integer number (219814056).

Almost surely, 2^12010576752 is an apocalyptic number.

12010576752 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 12010576752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585124480).

12010576752 is an abundant number, since it is smaller than the sum of its proper divisors (23159672208).

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

12010576752 is a wasteful number, since it uses less digits than its factorization.

12010576752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 12010576752 in words is "twelve billion, ten million, five hundred seventy-six thousand, seven hundred fifty-two".