212360000 has 70 divisors (see below), whose sum is σ = 526682970. Its totient is φ = 84928000.

The previous prime is 212359991. The next prime is 212360021. The reversal of 212360000 is 63212.

It can be written as a sum of positive squares in 5 ways, for example, as 157954624 + 54405376 = 12568^2 + 7376^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 37346 + ... + 42654.

Almost surely, 2^212360000 is an apocalyptic number.

212360000 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 212360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263341485).

212360000 is an abundant number, since it is smaller than the sum of its proper divisors (314322970).

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

212360000 is an frugal number, since it uses more digits than its factorization.

212360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212360000 is about 14572.5769855575. The cubic root of 212360000 is about 596.6105180389.

The spelling of 212360000 in words is "two hundred twelve million, three hundred sixty thousand".