12002001000 has 256 divisors, whose sum is σ = 41003089920. Its totient is φ = 2898720000.

The previous prime is 12002000863. The next prime is 12002001007. The reversal of 12002001000 is 10020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12002001000.

It is not an unprimeable number, because it can be changed into a prime (12002001007) 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 63 ways as a sum of consecutive naturals, for example, 12110505 + ... + 12111495.

It is an arithmetic number, because the mean of its divisors is an integer number (160168320).

Almost surely, 2^12002001000 is an apocalyptic number.

12002001000 is a gapful number since it is divisible by the number (10) 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 12002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501544960).

12002001000 is an abundant number, since it is smaller than the sum of its proper divisors (29001088920).

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

12002001000 is a wasteful number, since it uses less digits than its factorization.

12002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12002001000 its reverse (10020021), we get a palindrome (12012021021).

The spelling of 12002001000 in words is "twelve billion, two million, one thousand".