12000202032000 has 1024 divisors, whose sum is σ = 49041751449600. Its totient is φ = 2527727616000.

The previous prime is 12000202031981. The next prime is 12000202032017. The reversal of 12000202032000 is 23020200021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3140590090 + ... + 3140593910.

It is an arithmetic number, because the mean of its divisors is an integer number (47892335400).

Almost surely, 2^{12000202032000} is an apocalyptic number.

12000202032000 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 12000202032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520875724800).

12000202032000 is an abundant number, since it is smaller than the sum of its proper divisors (37041549417600).

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

12000202032000 is a wasteful number, since it uses less digits than its factorization.

12000202032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12000202032000 its reverse (23020200021), we get a palindrome (12023222232021).

The spelling of 12000202032000 in words is "twelve trillion, two hundred two million, thirty-two thousand".