210022120000000 has 960 divisors, whose sum is σ = 659034094118400. Its totient is φ = 65450880000000.

The previous prime is 210022119999941. The next prime is 210022120000009. The reversal of 210022120000000 is 21220012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210022120000009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33879996901 + ... + 33880003099.

It is an arithmetic number, because the mean of its divisors is an integer number (686493848040).

Almost surely, 2^{210022120000000} is an apocalyptic number.

210022120000000 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 210022120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329517047059200).

210022120000000 is an abundant number, since it is smaller than the sum of its proper divisors (449011974118400).

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

210022120000000 is an frugal number, since it uses more digits than its factorization.

210022120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210022120000000 its reverse (21220012), we get a palindrome (210022141220012).

The spelling of 210022120000000 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty million", and thus it is an aban number.