211012032000 has 960 divisors, whose sum is σ = 890730846720. Its totient is φ = 43825152000.

The previous prime is 211012031969. The next prime is 211012032017. The reversal of 211012032000 is 230210112.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 103486981 + ... + 103489019.

It is an arithmetic number, because the mean of its divisors is an integer number (927844632).

Almost surely, 2^211012032000 is an apocalyptic number.

211012032000 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 211012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445365423360).

211012032000 is an abundant number, since it is smaller than the sum of its proper divisors (679718814720).

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

211012032000 is a wasteful number, since it uses less digits than its factorization.

211012032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211012032000 its reverse (230210112), we get a palindrome (211242242112).

The spelling of 211012032000 in words is "two hundred eleven billion, twelve million, thirty-two thousand".