210022001112000 has 2688 divisors, whose sum is σ = 922584193090560. Its totient is φ = 41581854720000.

The previous prime is 210022001111983. The next prime is 210022001112029. The reversal of 210022001112000 is 211100220012.

210022001112000 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22806163396 + ... + 22806172604.

It is an arithmetic number, because the mean of its divisors is an integer number (343223286120).

Almost surely, 2^{210022001112000} is an apocalyptic number.

210022001112000 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 210022001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461292096545280).

210022001112000 is an abundant number, since it is smaller than the sum of its proper divisors (712562191978560).

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

210022001112000 is a wasteful number, since it uses less digits than its factorization.

210022001112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210022001112000 its reverse (211100220012), we get a palindrome (210233101332012).

The spelling of 210022001112000 in words is "two hundred ten trillion, twenty-two billion, one million, one hundred twelve thousand".