212111020111212 has 288 divisors, whose sum is σ = 562283983445184. Its totient is φ = 67359382272000.

The previous prime is 212111020111181. The next prime is 212111020111273.

It is a happy number.

212111020111212 is a `hidden beast` number, since 21 + 211 + 10 + 201 + 11 + 212 = 666.

212111020111212 is nontrivially palindromic in base 10.

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, 5163721218 + ... + 5163762294.

It is an arithmetic number, because the mean of its divisors is an integer number (1952374942518).

Almost surely, 2^{212111020111212} 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 212111020111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281141991722592).

212111020111212 is an abundant number, since it is smaller than the sum of its proper divisors (350172963333972).

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

212111020111212 is a wasteful number, since it uses less digits than its factorization.

212111020111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41649 (or 41644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 212111020111212 in words is "two hundred twelve trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, two hundred twelve".