212123212420 has 48 divisors (see below), whose sum is σ = 509754567168. Its totient is φ = 72633836160.

The previous prime is 212123212369. The next prime is 212123212423. The reversal of 212123212420 is 24212321212.

212123212420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212123212391 and 212123212400.

It is not an unprimeable number, because it can be changed into a prime (212123212423) by changing a digit.

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, 871836 + ... + 1088275.

It is an arithmetic number, because the mean of its divisors is an integer number (10619886816).

Almost surely, 2^212123212420 is an apocalyptic number.

212123212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123212420 is an abundant number, since it is smaller than the sum of its proper divisors (297631354748).

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

212123212420 is a wasteful number, since it uses less digits than its factorization.

212123212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960900 (or 1960898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212123212420 its reverse (24212321212), we get a palindrome (236335533632).

The spelling of 212123212420 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred twelve thousand, four hundred twenty".