210122112000 has 704 divisors, whose sum is σ = 750210499584. Its totient is φ = 52066713600.

The previous prime is 210122111999. The next prime is 210122112071. The reversal of 210122112000 is 211221012.

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 63 ways as a sum of consecutive naturals, for example, 326783679 + ... + 326784321.

Almost surely, 2^210122112000 is an apocalyptic number.

210122112000 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 210122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375105249792).

210122112000 is an abundant number, since it is smaller than the sum of its proper divisors (540088387584).

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

210122112000 is a wasteful number, since it uses less digits than its factorization.

210122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

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

Adding to 210122112000 its reverse (211221012), we get a palindrome (210333333012).

The spelling of 210122112000 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand".