210120212120 has 128 divisors (see below), whose sum is σ = 582132096000. Its totient is φ = 66469787136.

The previous prime is 210120212083. The next prime is 210120212167. The reversal of 210120212120 is 21212021012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210120212095 and 210120212104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8968181 + ... + 8991579.

It is an arithmetic number, because the mean of its divisors is an integer number (4547907000).

Almost surely, 2^210120212120 is an apocalyptic number.

210120212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291066048000).

210120212120 is an abundant number, since it is smaller than the sum of its proper divisors (372011883880).

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

210120212120 is a wasteful number, since it uses less digits than its factorization.

210120212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25897 (or 25893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210120212120 its reverse (21212021012), we get a palindrome (231332233132).

The spelling of 210120212120 in words is "two hundred ten billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".