212302080 has 144 divisors (see below), whose sum is σ = 753500160. Its totient is φ = 56604672.

The previous prime is 212302049. The next prime is 212302087. The reversal of 212302080 is 80203212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212302087) 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, 31489 + ... + 37631.

It is an arithmetic number, because the mean of its divisors is an integer number (5232640).

Almost surely, 2^212302080 is an apocalyptic number.

212302080 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 212302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376750080).

212302080 is an abundant number, since it is smaller than the sum of its proper divisors (541198080).

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

212302080 is an equidigital number, since it uses as much as digits as its factorization.

212302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212302080 is about 14570.5895556769. The cubic root of 212302080 is about 596.5562723817.

Adding to 212302080 its reverse (80203212), we get a palindrome (292505292).

The spelling of 212302080 in words is "two hundred twelve million, three hundred two thousand, eighty".