212120002120 has 32 divisors (see below), whose sum is σ = 513983083320. Its totient is φ = 78321231360.

The previous prime is 212120002109. The next prime is 212120002177. The reversal of 212120002120 is 21200021212.

It is a happy number.

212120002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 164603849796 + 47516152324 = 405714^2 + 217982^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 212120002120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203961021 + ... + 203962060.

Almost surely, 2^212120002120 is an apocalyptic number.

212120002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120002120 is an abundant number, since it is smaller than the sum of its proper divisors (301863081200).

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

212120002120 is a wasteful number, since it uses less digits than its factorization.

212120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407923105 (or 407923101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212120002120 its reverse (21200021212), we get a palindrome (233320023332).

The spelling of 212120002120 in words is "two hundred twelve billion, one hundred twenty million, two thousand, one hundred twenty".