212022720 has 336 divisors, whose sum is σ = 898672320. Its totient is φ = 44679168.

The previous prime is 212022709. The next prime is 212022787. The reversal of 212022720 is 27220212.

It is a happy number.

It is a Cunningham number, because it is equal to 14561²-1.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 212022693 and 212022702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261676 + ... + 262484.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^212022720 is an apocalyptic number.

212022720 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 212022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

212022720 is an abundant number, since it is smaller than the sum of its proper divisors (686649600).

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

212022720 is a wasteful number, since it uses less digits than its factorization.

212022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 212022720 is about 14560.9999656617. Note that the first 4 decimals coincide. The cubic root of 212022720 is about 596.2944958421.

Adding to 212022720 its reverse (27220212), we get a palindrome (239242932).

The spelling of 212022720 in words is "two hundred twelve million, twenty-two thousand, seven hundred twenty".