212083401600 has 1152 divisors, whose sum is σ = 917091302400. Its totient is φ = 47387566080.

The previous prime is 212083401589. The next prime is 212083401619. The reversal of 212083401600 is 6104380212.

212083401600 is a `hidden beast` number, since 2 + 1 + 20 + 8 + 34 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255829986 + ... + 255830814.

It is an arithmetic number, because the mean of its divisors is an integer number (796086200).

Almost surely, 2^212083401600 is an apocalyptic number.

212083401600 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 212083401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458545651200).

212083401600 is an abundant number, since it is smaller than the sum of its proper divisors (705007900800).

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

212083401600 is an equidigital number, since it uses as much as digits as its factorization.

212083401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 212083401600 its reverse (6104380212), we get a palindrome (218187781812).

The spelling of 212083401600 in words is "two hundred twelve billion, eighty-three million, four hundred one thousand, six hundred".