212114320 has 80 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 75238400.

The previous prime is 212114317. The next prime is 212114333. The reversal of 212114320 is 23411212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212114294 and 212114303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33141 + ... + 39019.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2^212114320 is an apocalyptic number.

212114320 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 212114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

212114320 is an abundant number, since it is smaller than the sum of its proper divisors (339100400).

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

212114320 is a wasteful number, since it uses less digits than its factorization.

212114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212114320 is about 14564.1450143838. The cubic root of 212114320 is about 596.3803556843.

Adding to 212114320 its reverse (23411212), we get a palindrome (235525532).

The spelling of 212114320 in words is "two hundred twelve million, one hundred fourteen thousand, three hundred twenty".