211200012000 has 288 divisors, whose sum is σ = 750283357824. Its totient is φ = 56264832000.

The previous prime is 211200011993. The next prime is 211200012031. The reversal of 211200012000 is 210002112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47769790 + ... + 47774210.

It is an arithmetic number, because the mean of its divisors is an integer number (2605150548).

Almost surely, 2^211200012000 is an apocalyptic number.

211200012000 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 211200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375141678912).

211200012000 is an abundant number, since it is smaller than the sum of its proper divisors (539083345824).

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

211200012000 is a wasteful number, since it uses less digits than its factorization.

211200012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211200012000 its reverse (210002112), we get a palindrome (211410014112).

The spelling of 211200012000 in words is "two hundred eleven billion, two hundred million, twelve thousand".