212120321 has 8 divisors (see below), whose sum is σ = 250243584. Its totient is φ = 175952160.

The previous prime is 212120291. The next prime is 212120327. The reversal of 212120321 is 123021212.

212120321 = 214² + 215² + ... + 864².

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212120321 - 2¹⁴ = 212103937 is a prime.

It is a super-2 number, since 2×212120321² = 89990061162286082, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212120296 and 212120305.

It is not an unprimeable number, because it can be changed into a prime (212120327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488540 + ... + 488973.

It is an arithmetic number, because the mean of its divisors is an integer number (31280448).

Almost surely, 2^212120321 is an apocalyptic number.

It is an amenable number.

212120321 is a deficient number, since it is larger than the sum of its proper divisors (38123263).

212120321 is an equidigital number, since it uses as much as digits as its factorization.

212120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977551.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212120321 is about 14564.3510325726. The cubic root of 212120321 is about 596.3859797659.

Adding to 212120321 its reverse (123021212), we get a palindrome (335141533).

The spelling of 212120321 in words is "two hundred twelve million, one hundred twenty thousand, three hundred twenty-one".