211232032000 has 144 divisors (see below), whose sum is σ = 574043206464. Its totient is φ = 76811520000.

The previous prime is 211232031971. The next prime is 211232032007. The reversal of 211232032000 is 230232112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232032007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51955 + ... + 652045.

It is an arithmetic number, because the mean of its divisors is an integer number (3986411156).

Almost surely, 2^211232032000 is an apocalyptic number.

211232032000 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 211232032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287021603232).

211232032000 is an abundant number, since it is smaller than the sum of its proper divisors (362811174464).

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

211232032000 is an equidigital number, since it uses as much as digits as its factorization.

211232032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600133 (or 600109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 211232032000 its reverse (230232112), we get a palindrome (211462264112).

The spelling of 211232032000 in words is "two hundred eleven billion, two hundred thirty-two million, thirty-two thousand".