212011120112112 has 800 divisors, whose sum is σ = 686322144446400. Its totient is φ = 62875777499136.

The previous prime is 212011120112111. The next prime is 212011120112147. The reversal of 212011120112112 is 211211021110212.

It is a happy number.

It is a super-3 number, since 3×212011120112112³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011120112111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6389902339 + ... + 6389935517.

It is an arithmetic number, because the mean of its divisors is an integer number (857902680558).

Almost surely, 2^{212011120112112} 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 212011120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343161072223200).

212011120112112 is an abundant number, since it is smaller than the sum of its proper divisors (474311024334288).

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

212011120112112 is a wasteful number, since it uses less digits than its factorization.

212011120112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33455 (or 33440 counting only the distinct ones).

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

Adding to 212011120112112 its reverse (211211021110212), we get a palindrome (423222141222324).

The spelling of 212011120112112 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".