212373505600 has 189 divisors, whose sum is σ = 537541007593. Its totient is φ = 82582528000.

The previous prime is 212373505583. The next prime is 212373505627. The reversal of 212373505600 is 6505373212.

The square root of 212373505600 is 460840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 198438175296 + 13935330304 = 445464^2 + 118048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 755777460 + ... + 755777740.

Almost surely, 2^212373505600 is an apocalyptic number.

212373505600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212373505600 is the 460840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212373505600

212373505600 is an abundant number, since it is smaller than the sum of its proper divisors (325167501993).

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

212373505600 is an frugal number, since it uses more digits than its factorization.

212373505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

Adding to 212373505600 its reverse (6505373212), we get a palindrome (218878878812).

The spelling of 212373505600 in words is "two hundred twelve billion, three hundred seventy-three million, five hundred five thousand, six hundred".