12033102000 has 160 divisors (see below), whose sum is σ = 38867512320. Its totient is φ = 3202809600.

The previous prime is 12033101989. The next prime is 12033102031. The reversal of 12033102000 is 20133021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3856441 + ... + 3859559.

It is an arithmetic number, because the mean of its divisors is an integer number (242921952).

Almost surely, 2^12033102000 is an apocalyptic number.

12033102000 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 12033102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433756160).

12033102000 is an abundant number, since it is smaller than the sum of its proper divisors (26834410320).

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

12033102000 is a wasteful number, since it uses less digits than its factorization.

12033102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12033102000 its reverse (20133021), we get a palindrome (12053235021).

The spelling of 12033102000 in words is "twelve billion, thirty-three million, one hundred two thousand".