112112133210 has 640 divisors, whose sum is σ = 400445337600. Its totient is φ = 21801415680.

The previous prime is 112112133209. The next prime is 112112133223. The reversal of 112112133210 is 12331211211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105467139 + ... + 105468201.

It is an arithmetic number, because the mean of its divisors is an integer number (625695840).

Almost surely, 2^112112133210 is an apocalyptic number.

112112133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200222668800).

112112133210 is an abundant number, since it is smaller than the sum of its proper divisors (288333204390).

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

112112133210 is a wasteful number, since it uses less digits than its factorization.

112112133210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112112133210 its reverse (12331211211), we get a palindrome (124443344421).

The spelling of 112112133210 in words is "one hundred twelve billion, one hundred twelve million, one hundred thirty-three thousand, two hundred ten".