212081839200 has 1728 divisors, whose sum is σ = 981762163200. Its totient is φ = 42674688000.

The previous prime is 212081839199. The next prime is 212081839231. The reversal of 212081839200 is 2938180212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1005127095 + ... + 1005127305.

It is an arithmetic number, because the mean of its divisors is an integer number (568149400).

Almost surely, 2^212081839200 is an apocalyptic number.

212081839200 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 212081839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490881081600).

212081839200 is an abundant number, since it is smaller than the sum of its proper divisors (769680324000).

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

212081839200 is a wasteful number, since it uses less digits than its factorization.

212081839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 212081839200 in words is "two hundred twelve billion, eighty-one million, eight hundred thirty-nine thousand, two hundred".