212111211000000 has 784 divisors, whose sum is σ = 762960593354400. Its totient is φ = 51694080000000.

The previous prime is 212111210999999. The next prime is 212111211000001. The reversal of 212111211000000 is 112111212.

It is an interprime number because it is at equal distance from previous prime (212111210999999) and next prime (212111211000001).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212111211000000.

It is not an unprimeable number, because it can be changed into a prime (212111211000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3938973076 + ... + 3939026924.

Almost surely, 2^{212111211000000} is an apocalyptic number.

212111211000000 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 212111211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381480296677200).

212111211000000 is an abundant number, since it is smaller than the sum of its proper divisors (550849382354400).

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

212111211000000 is an equidigital number, since it uses as much as digits as its factorization.

212111211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54008 (or 53973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212111211000000 its reverse (112111212), we get a palindrome (212111323111212).

The spelling of 212111211000000 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred eleven million", and thus it is an aban number.