212133620 has 96 divisors (see below), whose sum is σ = 481367040. Its totient is φ = 78382080.

The previous prime is 212133619. The next prime is 212133643. The reversal of 212133620 is 26331212.

It is a happy number.

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 = 212133592 and 212133601.

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, 1946126 + ... + 1946234.

It is an arithmetic number, because the mean of its divisors is an integer number (5014240).

Almost surely, 2^212133620 is an apocalyptic number.

212133620 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 212133620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240683520).

212133620 is an abundant number, since it is smaller than the sum of its proper divisors (269233420).

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

212133620 is a wasteful number, since it uses less digits than its factorization.

212133620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 212133620 is about 14564.8075854094. The cubic root of 212133620 is about 596.3984430876.

Adding to 212133620 its reverse (26331212), we get a palindrome (238464832).

The spelling of 212133620 in words is "two hundred twelve million, one hundred thirty-three thousand, six hundred twenty".