210112122000 has 640 divisors, whose sum is σ = 765650995200. Its totient is φ = 49123584000.

The previous prime is 210112121983. The next prime is 210112122001. The reversal of 210112122000 is 221211012.

It is a super-2 number, since 2×210112122000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (210112122001) 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, 339437691 + ... + 339438309.

It is an arithmetic number, because the mean of its divisors is an integer number (1196329680).

Almost surely, 2^210112122000 is an apocalyptic number.

210112122000 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 210112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382825497600).

210112122000 is an abundant number, since it is smaller than the sum of its proper divisors (555538873200).

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

210112122000 is a wasteful number, since it uses less digits than its factorization.

210112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

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

Adding to 210112122000 its reverse (221211012), we get a palindrome (210333333012).

The spelling of 210112122000 in words is "two hundred ten billion, one hundred twelve million, one hundred twenty-two thousand".