212001801600 has 192 divisors, whose sum is σ = 699509402640. Its totient is φ = 56434360320.

The previous prime is 212001801593. The next prime is 212001801647. The reversal of 212001801600 is 6108100212.

212001801600 is digitally balanced in base 3, 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5520064 + ... + 5558336.

Almost surely, 2^212001801600 is an apocalyptic number.

212001801600 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 212001801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349754701320).

212001801600 is an abundant number, since it is smaller than the sum of its proper divisors (487507601040).

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

212001801600 is a wasteful number, since it uses less digits than its factorization.

212001801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38877 (or 38860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 212001801600 its reverse (6108100212), we get a palindrome (218109901812).

The spelling of 212001801600 in words is "two hundred twelve billion, one million, eight hundred one thousand, six hundred".