212120011020112 has 80 divisors (see below), whose sum is σ = 447051645613440. Its totient is φ = 96916403520000.

The previous prime is 212120011020109. The next prime is 212120011020121. The reversal of 212120011020112 is 211020110021212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128399439 + ... + 130040977.

It is an arithmetic number, because the mean of its divisors is an integer number (5588145570168).

Almost surely, 2^{212120011020112} 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 212120011020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223525822806720).

212120011020112 is an abundant number, since it is smaller than the sum of its proper divisors (234931634593328).

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

212120011020112 is a wasteful number, since it uses less digits than its factorization.

212120011020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647812 (or 1647806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212120011020112 its reverse (211020110021212), we get a palindrome (423140121041324).

The spelling of 212120011020112 in words is "two hundred twelve trillion, one hundred twenty billion, eleven million, twenty thousand, one hundred twelve".