210332122000 has 480 divisors, whose sum is σ = 688097958912. Its totient is φ = 60508800000.

The previous prime is 210332121973. The next prime is 210332122009. The reversal of 210332122000 is 221233012.

210332122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (210332122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22017225 + ... + 22026775.

Almost surely, 2^210332122000 is an apocalyptic number.

210332122000 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 210332122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344048979456).

210332122000 is an abundant number, since it is smaller than the sum of its proper divisors (477765836912).

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

210332122000 is a wasteful number, since it uses less digits than its factorization.

210332122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9589 counting only the distinct ones).

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

Adding to 210332122000 its reverse (221233012), we get a palindrome (210553355012).

The spelling of 210332122000 in words is "two hundred ten billion, three hundred thirty-two million, one hundred twenty-two thousand".