210122002112000 has 960 divisors, whose sum is σ = 590970807947520. Its totient is φ = 74426204160000.

The previous prime is 210122002111999. The next prime is 210122002112017. The reversal of 210122002112000 is 211200221012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83348670740 + ... + 83348673260.

It is an arithmetic number, because the mean of its divisors is an integer number (615594591612).

Almost surely, 2^{210122002112000} is an apocalyptic number.

210122002112000 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 210122002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295485403973760).

210122002112000 is an abundant number, since it is smaller than the sum of its proper divisors (380848805835520).

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

210122002112000 is a wasteful number, since it uses less digits than its factorization.

210122002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210122002112000 its reverse (211200221012), we get a palindrome (210333202333012).

The spelling of 210122002112000 in words is "two hundred ten trillion, one hundred twenty-two billion, two million, one hundred twelve thousand".