210112112000 has 512 divisors, whose sum is σ = 636347612160. Its totient is φ = 67350528000.

The previous prime is 210112111997. The next prime is 210112112003. The reversal of 210112112000 is 211211012.

It is an interprime number because it is at equal distance from previous prime (210112111997) and next prime (210112112003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112112003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401743739 + ... + 401744261.

It is an arithmetic number, because the mean of its divisors is an integer number (1242866430).

Almost surely, 2^210112112000 is an apocalyptic number.

210112112000 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 210112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318173806080).

210112112000 is an abundant number, since it is smaller than the sum of its proper divisors (426235500160).

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

210112112000 is a wasteful number, since it uses less digits than its factorization.

210112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210112112000 its reverse (211211012), we get a palindrome (210323323012).

The spelling of 210112112000 in words is "two hundred ten billion, one hundred twelve million, one hundred twelve thousand".