212233120 has 48 divisors (see below), whose sum is σ = 546987168. Its totient is φ = 77175040.

The previous prime is 212233103. The next prime is 212233141. The reversal of 212233120 is 21332212.

212233120 is digitally balanced in base 3, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 212233094 and 212233103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58534 + ... + 62053.

It is an arithmetic number, because the mean of its divisors is an integer number (11395566).

Almost surely, 2^212233120 is an apocalyptic number.

212233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233120 is an abundant number, since it is smaller than the sum of its proper divisors (334754048).

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

212233120 is a wasteful number, since it uses less digits than its factorization.

212233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120613 (or 120605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212233120 is about 14568.2229527146. Note that the first 3 decimals coincide. The cubic root of 212233120 is about 596.4916742148.

Adding to 212233120 its reverse (21332212), we get a palindrome (233565332).

It can be divided in two parts, 212 and 233120, that added together give a palindrome (233332).

The spelling of 212233120 in words is "two hundred twelve million, two hundred thirty-three thousand, one hundred twenty".