2211002112000 has 768 divisors, whose sum is σ = 8081144547840. Its totient is φ = 532267008000.

The previous prime is 2211002111999. The next prime is 2211002112061. The reversal of 2211002112000 is 2112001122.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1326335167 + ... + 1326336833.

It is an arithmetic number, because the mean of its divisors is an integer number (10522323630).

Almost surely, 2^{2211002112000} is an apocalyptic number.

2211002112000 is a gapful number since it is divisible by the number (20) 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 2211002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040572273920).

2211002112000 is an abundant number, since it is smaller than the sum of its proper divisors (5870142435840).

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

2211002112000 is a wasteful number, since it uses less digits than its factorization.

2211002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2211002112000 its reverse (2112001122), we get a palindrome (2213114113122).

The spelling of 2211002112000 in words is "two trillion, two hundred eleven billion, two million, one hundred twelve thousand".