210233132112000 has 256 divisors, whose sum is σ = 698532423563520. Its totient is φ = 55932689203200.

The previous prime is 210233132111939. The next prime is 210233132112013. The reversal of 210233132112000 is 211231332012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15726429 + ... + 25841571.

It is an arithmetic number, because the mean of its divisors is an integer number (2728642279545).

Almost surely, 2^{210233132112000} is an apocalyptic number.

210233132112000 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 210233132112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349266211781760).

210233132112000 is an abundant number, since it is smaller than the sum of its proper divisors (488299291451520).

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

210233132112000 is a wasteful number, since it uses less digits than its factorization.

210233132112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115608 (or 10115586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 210233132112000 its reverse (211231332012), we get a palindrome (210444363444012).

The spelling of 210233132112000 in words is "two hundred ten trillion, two hundred thirty-three billion, one hundred thirty-two million, one hundred twelve thousand".