12001020201000 has 384 divisors, whose sum is σ = 42906953456640. Its totient is φ = 3019192704000.

The previous prime is 12001020200989. The next prime is 12001020201011. The reversal of 12001020201000 is 10202010021.

It is an interprime number because it is at equal distance from previous prime (12001020200989) and next prime (12001020201011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14713905 + ... + 15508095.

It is an arithmetic number, because the mean of its divisors is an integer number (111736857960).

Almost surely, 2^{12001020201000} is an apocalyptic number.

12001020201000 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 12001020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21453476728320).

12001020201000 is an abundant number, since it is smaller than the sum of its proper divisors (30905933255640).

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

12001020201000 is a wasteful number, since it uses less digits than its factorization.

12001020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794314 (or 794297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001020201000 its reverse (10202010021), we get a palindrome (12011222211021).

The spelling of 12001020201000 in words is "twelve trillion, one billion, twenty million, two hundred one thousand".