212414016 has 112 divisors (see below), whose sum is σ = 593409024. Its totient is φ = 66925056.

The previous prime is 212413969. The next prime is 212414047. The reversal of 212414016 is 610414212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212413983 and 212414001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 454615 + ... + 455081.

Almost surely, 2^212414016 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 212414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296704512).

212414016 is an abundant number, since it is smaller than the sum of its proper divisors (380995008).

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

212414016 is a wasteful number, since it uses less digits than its factorization.

212414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 212414016 is about 14574.4302118470. The cubic root of 212414016 is about 596.6610984711.

Adding to 212414016 its reverse (610414212), we get a palindrome (822828228).

The spelling of 212414016 in words is "two hundred twelve million, four hundred fourteen thousand, sixteen".