12002133024 has 216 divisors, whose sum is σ = 40404087360. Its totient is φ = 3310465536.

The previous prime is 12002133007. The next prime is 12002133029. The reversal of 12002133024 is 42033120021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002132988 and 12002133006.

It is not an unprimeable number, because it can be changed into a prime (12002133029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1691917 + ... + 1698995.

It is an arithmetic number, because the mean of its divisors is an integer number (187055960).

Almost surely, 2^12002133024 is an apocalyptic number.

12002133024 is a gapful number since it is divisible by the number (14) 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 12002133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202043680).

12002133024 is an abundant number, since it is smaller than the sum of its proper divisors (28401954336).

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

12002133024 is a wasteful number, since it uses less digits than its factorization.

12002133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002133024 its reverse (42033120021), we get a palindrome (54035253045).

The spelling of 12002133024 in words is "twelve billion, two million, one hundred thirty-three thousand, twenty-four".