12002102000 has 320 divisors, whose sum is σ = 35432017920. Its totient is φ = 3838464000.

The previous prime is 12002101967. The next prime is 12002102041. The reversal of 12002102000 is 20120021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50217881 + ... + 50218119.

It is an arithmetic number, because the mean of its divisors is an integer number (110725056).

Almost surely, 2^12002102000 is an apocalyptic number.

12002102000 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 12002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716008960).

12002102000 is an abundant number, since it is smaller than the sum of its proper divisors (23429915920).

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

12002102000 is a wasteful number, since it uses less digits than its factorization.

12002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12002102000 its reverse (20120021), we get a palindrome (12022222021).

The spelling of 12002102000 in words is "twelve billion, two million, one hundred two thousand".