212142104120 has 32 divisors (see below), whose sum is σ = 477332956800. Its totient is φ = 84854491008.

The previous prime is 212142104099. The next prime is 212142104123. The reversal of 212142104120 is 21401241212.

212142104120 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 212142104092 and 212142104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142104123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2512022 + ... + 2595098.

It is an arithmetic number, because the mean of its divisors is an integer number (14916654900).

Almost surely, 2^212142104120 is an apocalyptic number.

212142104120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212142104120 is an abundant number, since it is smaller than the sum of its proper divisors (265190852680).

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

212142104120 is a wasteful number, since it uses less digits than its factorization.

212142104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146927 (or 146923 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212142104120 its reverse (21401241212), we get a palindrome (233543345332).

The spelling of 212142104120 in words is "two hundred twelve billion, one hundred forty-two million, one hundred four thousand, one hundred twenty".