12021870432 has 576 divisors, whose sum is σ = 40162977792. Its totient is φ = 3115008000.

The previous prime is 12021870397. The next prime is 12021870451. The reversal of 12021870432 is 23407812021.

12021870432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12021870432.

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 95 ways as a sum of consecutive naturals, for example, 226827718 + ... + 226827770.

It is an arithmetic number, because the mean of its divisors is an integer number (69727392).

Almost surely, 2^12021870432 is an apocalyptic number.

12021870432 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 12021870432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20081488896).

12021870432 is an abundant number, since it is smaller than the sum of its proper divisors (28141107360).

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

12021870432 is a wasteful number, since it uses less digits than its factorization.

12021870432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12021870432 in words is "twelve billion, twenty-one million, eight hundred seventy thousand, four hundred thirty-two".