210112113120 has 768 divisors, whose sum is σ = 865645885440. Its totient is φ = 41636560896.

The previous prime is 210112113109. The next prime is 210112113121. The reversal of 210112113120 is 21311211012.

It is a super-2 number, since 2×210112113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210112113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112113121) 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, 46866399 + ... + 46870881.

It is an arithmetic number, because the mean of its divisors is an integer number (1127143080).

Almost surely, 2^210112113120 is an apocalyptic number.

210112113120 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 210112113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432822942720).

210112113120 is an abundant number, since it is smaller than the sum of its proper divisors (655533772320).

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

210112113120 is a wasteful number, since it uses less digits than its factorization.

210112113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 210112113120 its reverse (21311211012), we get a palindrome (231423324132).

The spelling of 210112113120 in words is "two hundred ten billion, one hundred twelve million, one hundred thirteen thousand, one hundred twenty".