212120022002112 has 168 divisors, whose sum is σ = 694949471659872. Its totient is φ = 60598040832000.

The previous prime is 212120022002101. The next prime is 212120022002149. The reversal of 212120022002112 is 211200220021212.

It is a happy number.

212120022002112 is a `hidden beast` number, since 21 + 212 + 0 + 0 + 220 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28527562 + ... + 35186102.

Almost surely, 2^{212120022002112} 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 212120022002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347474735829936).

212120022002112 is an abundant number, since it is smaller than the sum of its proper divisors (482829449657760).

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

212120022002112 is a wasteful number, since it uses less digits than its factorization.

212120022002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666467 (or 6666454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120022002112 its reverse (211200220021212), we get a palindrome (423320242023324).

The spelling of 212120022002112 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, two thousand, one hundred twelve".