12000002211000 has 576 divisors, whose sum is σ = 43531339531680. Its totient is φ = 2980653465600.

The previous prime is 12000002210971. The next prime is 12000002211011. The reversal of 12000002211000 is 11220000021.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252273219 + ... + 252320781.

Almost surely, 2^{12000002211000} is an apocalyptic number.

12000002211000 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 12000002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21765669765840).

12000002211000 is an abundant number, since it is smaller than the sum of its proper divisors (31531337320680).

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

12000002211000 is a wasteful number, since it uses less digits than its factorization.

12000002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47721 (or 47687 counting only the distinct ones).

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

Adding to 12000002211000 its reverse (11220000021), we get a palindrome (12011222211021).

The spelling of 12000002211000 in words is "twelve trillion, two million, two hundred eleven thousand".