211232023200000 has 1944 divisors, whose sum is σ = 859484731597128. Its totient is φ = 49816166400000.

The previous prime is 211232023199971. The next prime is 211232023200007. The reversal of 211232023200000 is 2320232112.

211232023200000 is a `hidden beast` number, since 2 + 112 + 320 + 232 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 204198155403264 + 7033867796736 = 14289792^2 + 2652144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232023200007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32234396724 + ... + 32234403276.

Almost surely, 2^{211232023200000} is an apocalyptic number.

211232023200000 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 211232023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429742365798564).

211232023200000 is an abundant number, since it is smaller than the sum of its proper divisors (648252708397128).

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

211232023200000 is an equidigital number, since it uses as much as digits as its factorization.

211232023200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211232023200000 its reverse (2320232112), we get a palindrome (211234343432112).

The spelling of 211232023200000 in words is "two hundred eleven trillion, two hundred thirty-two billion, twenty-three million, two hundred thousand".