2112001022000 has 80 divisors (see below), whose sum is σ = 5111215173792. Its totient is φ = 844073081600.

The previous prime is 2112001021997. The next prime is 2112001022017. The reversal of 2112001022000 is 2201002112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1872002 + ... + 2779998.

Almost surely, 2^{2112001022000} is an apocalyptic number.

2112001022000 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 2112001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555607586896).

2112001022000 is an abundant number, since it is smaller than the sum of its proper divisors (2999214151792).

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

2112001022000 is a wasteful number, since it uses less digits than its factorization.

2112001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909183 (or 909167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2112001022000 its reverse (2201002112), we get a palindrome (2114202024112).

The spelling of 2112001022000 in words is "two trillion, one hundred twelve billion, one million, twenty-two thousand".