212330307600 has 90 divisors (see below), whose sum is σ = 736845160506. Its totient is φ = 56621414400.

The previous prime is 212330307599. The next prime is 212330307613. The reversal of 212330307600 is 6703033212.

212330307600 is a `hidden beast` number, since 2 + 1 + 23 + 3 + 0 + 30 + 7 + 600 = 666.

212330307600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33177893904 + 179152413696 = 182148^2 + 423264^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29486721 + ... + 29493920.

Almost surely, 2^212330307600 is an apocalyptic number.

212330307600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212330307600 is an abundant number, since it is smaller than the sum of its proper divisors (524514852906).

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

212330307600 is a wasteful number, since it uses less digits than its factorization.

212330307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58980665 (or 58980651 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 212330307600 in words is "two hundred twelve billion, three hundred thirty million, three hundred seven thousand, six hundred".