210231313122000 has 640 divisors, whose sum is σ = 703835108241408. Its totient is φ = 53929214976000.

The previous prime is 210231313121957. The next prime is 210231313122001. The reversal of 210231313122000 is 221313132012.

210231313122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210231313122001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59103544222 + ... + 59103547778.

Almost surely, 2^{210231313122000} is an apocalyptic number.

210231313122000 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 210231313122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351917554120704).

210231313122000 is an abundant number, since it is smaller than the sum of its proper divisors (493603795119408).

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

210231313122000 is a wasteful number, since it uses less digits than its factorization.

210231313122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5408 counting only the distinct ones).

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

Adding to 210231313122000 its reverse (221313132012), we get a palindrome (210452626254012).

The spelling of 210231313122000 in words is "two hundred ten trillion, two hundred thirty-one billion, three hundred thirteen million, one hundred twenty-two thousand".