212011212120 has 128 divisors (see below), whose sum is σ = 653540659200. Its totient is φ = 54981628416.

The previous prime is 212011212053. The next prime is 212011212151. The reversal of 212011212120 is 21212110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10143841 + ... + 10164719.

It is an arithmetic number, because the mean of its divisors is an integer number (5105786400).

Almost surely, 2^212011212120 is an apocalyptic number.

212011212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326770329600).

212011212120 is an abundant number, since it is smaller than the sum of its proper divisors (441529447080).

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

212011212120 is a wasteful number, since it uses less digits than its factorization.

212011212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23217 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212011212120 its reverse (21212110212), we get a palindrome (233223322332).

It can be divided in two parts, 21201 and 1212120, that added together give a palindrome (1233321).

The spelling of 212011212120 in words is "two hundred twelve billion, eleven million, two hundred twelve thousand, one hundred twenty".