12002111001000 has 768 divisors, whose sum is σ = 42504159559680. Its totient is φ = 3051069120000.

The previous prime is 12002111000987. The next prime is 12002111001061. The reversal of 12002111001000 is 10011120021.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 12111110505 + ... + 12111111495.

It is an arithmetic number, because the mean of its divisors is an integer number (55343957760).

Almost surely, 2^{12002111001000} is an apocalyptic number.

12002111001000 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 12002111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252079779840).

12002111001000 is an abundant number, since it is smaller than the sum of its proper divisors (30502048558680).

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

12002111001000 is a wasteful number, since it uses less digits than its factorization.

12002111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1638 counting only the distinct ones).

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

Adding to 12002111001000 its reverse (10011120021), we get a palindrome (12012122121021).

The spelling of 12002111001000 in words is "twelve trillion, two billion, one hundred eleven million, one thousand".