2112211000000 has 294 divisors, whose sum is σ = 5530412100444. Its totient is φ = 800280000000.

The previous prime is 2112210999953. The next prime is 2112211000007. The reversal of 2112211000000 is 1122112.

It is a super-3 number, since 3×2112211000000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2112211000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 360997075 + ... + 361002925.

Almost surely, 2^{2112211000000} is an apocalyptic number.

2112211000000 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 2112211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765206050222).

2112211000000 is an abundant number, since it is smaller than the sum of its proper divisors (3418201100444).

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

2112211000000 is an frugal number, since it uses more digits than its factorization.

2112211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5877 counting only the distinct ones).

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

Adding to 2112211000000 its reverse (1122112), we get a palindrome (2112212122112).

The spelling of 2112211000000 in words is "two trillion, one hundred twelve billion, two hundred eleven million", and thus it is an aban number.