12002011021000 has 768 divisors, whose sum is σ = 39069177638400. Its totient is φ = 3328867584000.

The previous prime is 12002011020983. The next prime is 12002011021097. The reversal of 12002011021000 is 12011020021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18665646679 + ... + 18665647321.

It is an arithmetic number, because the mean of its divisors is an integer number (50871325050).

Almost surely, 2^{12002011021000} is an apocalyptic number.

12002011021000 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 12002011021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19534588819200).

12002011021000 is an abundant number, since it is smaller than the sum of its proper divisors (27067166617400).

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

12002011021000 is a wasteful number, since it uses less digits than its factorization.

12002011021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12002011021000 its reverse (12011020021), we get a palindrome (12014022041021).

The spelling of 12002011021000 in words is "twelve trillion, two billion, eleven million, twenty-one thousand".