212100312120 has 64 divisors (see below), whose sum is σ = 637186176000. Its totient is φ = 56481395328.

The previous prime is 212100312029. The next prime is 212100312139. The reversal of 212100312120 is 21213001212.

212100312120 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 212100312120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142860 + ... + 1315419.

It is an arithmetic number, because the mean of its divisors is an integer number (9956034000).

Almost surely, 2^212100312120 is an apocalyptic number.

212100312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100312120 is an abundant number, since it is smaller than the sum of its proper divisors (425085863880).

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

212100312120 is a wasteful number, since it uses less digits than its factorization.

212100312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459012 (or 2459008 counting only the distinct ones).

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

Adding to 212100312120 its reverse (21213001212), we get a palindrome (233313313332).

The spelling of 212100312120 in words is "two hundred twelve billion, one hundred million, three hundred twelve thousand, one hundred twenty".