210213120 has 144 divisors (see below), whose sum is σ = 723183552. Its totient is φ = 51732480.

The previous prime is 210213119. The next prime is 210213151. The reversal of 210213120 is 21312012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210213096 and 210213105.

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, 47815 + ... + 52025.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2^210213120 is an apocalyptic number.

210213120 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 210213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361591776).

210213120 is an abundant number, since it is smaller than the sum of its proper divisors (512970432).

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

210213120 is a wasteful number, since it uses less digits than its factorization.

210213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210213120 is about 14498.7282200888. The cubic root of 210213120 is about 594.5932016824.

Adding to 210213120 its reverse (21312012), we get a palindrome (231525132).

The spelling of 210213120 in words is "two hundred ten million, two hundred thirteen thousand, one hundred twenty".