212182080 has 224 divisors, whose sum is σ = 747906048. Its totient is φ = 50534400.

The previous prime is 212182079. The next prime is 212182123. The reversal of 212182080 is 80281212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212182080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749619 + ... + 749901.

Almost surely, 2^212182080 is an apocalyptic number.

212182080 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 212182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373953024).

212182080 is an abundant number, since it is smaller than the sum of its proper divisors (535723968).

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

212182080 is a wasteful number, since it uses less digits than its factorization.

212182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 212182080 is about 14566.4710894575. The cubic root of 212182080 is about 596.4438535669.

The spelling of 212182080 in words is "two hundred twelve million, one hundred eighty-two thousand, eighty".