212001132120 has 64 divisors (see below), whose sum is σ = 651515689440. Its totient is φ = 55154764800.

The previous prime is 212001132089. The next prime is 212001132149. The reversal of 212001132120 is 21231100212.

212001132120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 212001132120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21539911 + ... + 21549750.

Almost surely, 2^212001132120 is an apocalyptic number.

212001132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001132120 is an abundant number, since it is smaller than the sum of its proper divisors (439514557320).

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

212001132120 is a wasteful number, since it uses less digits than its factorization.

212001132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43089716 (or 43089712 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212001132120 its reverse (21231100212), we get a palindrome (233232232332).

The spelling of 212001132120 in words is "two hundred twelve billion, one million, one hundred thirty-two thousand, one hundred twenty".