2121112000 has 224 divisors, whose sum is σ = 6133795200. Its totient is φ = 726297600.

The previous prime is 2121111989. The next prime is 2121112013. The reversal of 2121112000 is 2111212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2121112000² = 8998232233088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 2743614 + ... + 2744386.

Almost surely, 2^2121112000 is an apocalyptic number.

2121112000 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 2121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066897600).

2121112000 is an abundant number, since it is smaller than the sum of its proper divisors (4012683200).

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

2121112000 is an frugal number, since it uses more digits than its factorization.

2121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2121112000 is about 46055.5316981576. The cubic root of 2121112000 is about 1284.8562270067.

Adding to 2121112000 its reverse (2111212), we get a palindrome (2123223212).

The spelling of 2121112000 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand".