212060332800 has 540 divisors, whose sum is σ = 790502904576. Its totient is φ = 56086732800.

The previous prime is 212060332789. The next prime is 212060332819. The reversal of 212060332800 is 8233060212.

212060332800 is a `hidden beast` number, since 2 + 1 + 20 + 603 + 32 + 8 + 0 + 0 = 666.

212060332800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 65835190 + ... + 65838410.

Almost surely, 2^212060332800 is an apocalyptic number.

212060332800 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 212060332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395251452288).

212060332800 is an abundant number, since it is smaller than the sum of its proper divisors (578442571776).

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

212060332800 is a wasteful number, since it uses less digits than its factorization.

212060332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 212060332800 in words is "two hundred twelve billion, sixty million, three hundred thirty-two thousand, eight hundred".