212111101111212 has 288 divisors, whose sum is σ = 593236163520000. Its totient is φ = 63601982991360.

The previous prime is 212111101111207. The next prime is 212111101111237.

212111101111212 is a `hidden beast` number, since 21 + 211 + 110 + 1 + 111 + 212 = 666.

212111101111212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212111101111212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4034114739 + ... + 4034167317.

It is an arithmetic number, because the mean of its divisors is an integer number (2059847790000).

Almost surely, 2^{212111101111212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111101111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296618081760000).

212111101111212 is an abundant number, since it is smaller than the sum of its proper divisors (381125062408788).

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

212111101111212 is a wasteful number, since it uses less digits than its factorization.

212111101111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54501 (or 54496 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

It can be divided in two parts, 21211110 and 1111212, that added together give a palindrome (22322322).

The spelling of 212111101111212 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, two hundred twelve".