12010582752 has 192 divisors, whose sum is σ = 36600076800. Its totient is φ = 3377848320.

The previous prime is 12010582721. The next prime is 12010582781. The reversal of 12010582752 is 25728501021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24461227 + ... + 24461717.

It is an arithmetic number, because the mean of its divisors is an integer number (190625400).

Almost surely, 2^12010582752 is an apocalyptic number.

12010582752 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 12010582752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300038400).

12010582752 is an abundant number, since it is smaller than the sum of its proper divisors (24589494048).

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

12010582752 is a wasteful number, since it uses less digits than its factorization.

12010582752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 12010582752 in words is "twelve billion, ten million, five hundred eighty-two thousand, seven hundred fifty-two".