213234120 has 320 divisors, whose sum is σ = 811261440. Its totient is φ = 49766400.

The previous prime is 213234113. The next prime is 213234157. The reversal of 213234120 is 21432312.

213234120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 213234093 and 213234102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104744 + ... + 1104936.

It is an arithmetic number, because the mean of its divisors is an integer number (2535192).

Almost surely, 2^213234120 is an apocalyptic number.

213234120 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 213234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405630720).

213234120 is an abundant number, since it is smaller than the sum of its proper divisors (598027320).

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

213234120 is a wasteful number, since it uses less digits than its factorization.

213234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213234120 is about 14602.5381355434. The cubic root of 213234120 is about 597.4279903648.

Adding to 213234120 its reverse (21432312), we get a palindrome (234666432).

The spelling of 213234120 in words is "two hundred thirteen million, two hundred thirty-four thousand, one hundred twenty".