12021010011000 has 384 divisors, whose sum is σ = 42379574328000. Its totient is φ = 3187062028800.

The previous prime is 12021010010899. The next prime is 12021010011029. The reversal of 12021010011000 is 11001012021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41896026 + ... + 42181974.

Almost surely, 2^{12021010011000} is an apocalyptic number.

12021010011000 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 12021010011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189787164000).

12021010011000 is an abundant number, since it is smaller than the sum of its proper divisors (30358564317000).

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

12021010011000 is a wasteful number, since it uses less digits than its factorization.

12021010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286158 (or 286132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12021010011000 its reverse (11001012021), we get a palindrome (12032011023021).

The spelling of 12021010011000 in words is "twelve trillion, twenty-one billion, ten million, eleven thousand".