212120016 has 80 divisors (see below), whose sum is σ = 583676928. Its totient is φ = 66150400.

The previous prime is 212120003. The next prime is 212120017. The reversal of 212120016 is 610021212.

It is a junction number, because it is equal to n+sod(n) for n = 212119977 and 212120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155176 + ... + 156536.

Almost surely, 2^212120016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291838464).

212120016 is an abundant number, since it is smaller than the sum of its proper divisors (371556912).

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

212120016 is a wasteful number, since it uses less digits than its factorization.

212120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 212120016 is about 14564.3405617968. The cubic root of 212120016 is about 596.3856939253.

Adding to 212120016 its reverse (610021212), we get a palindrome (822141228).

The spelling of 212120016 in words is "two hundred twelve million, one hundred twenty thousand, sixteen".