112112121123030 has 128 divisors (see below), whose sum is σ = 308526999846912. Its totient is φ = 25540681719168.

The previous prime is 112112121123029. The next prime is 112112121123053. The reversal of 112112121123030 is 30321121211211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112112121122988 and 112112121123006.

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, 1434225007 + ... + 1434303173.

It is an arithmetic number, because the mean of its divisors is an integer number (2410367186304).

Almost surely, 2^{112112121123030} is an apocalyptic number.

112112121123030 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 112112121123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154263499923456).

112112121123030 is an abundant number, since it is smaller than the sum of its proper divisors (196414878723882).

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

112112121123030 is a wasteful number, since it uses less digits than its factorization.

112112121123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100738.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 112112121123030 its reverse (30321121211211), we get a palindrome (142433242334241).

The spelling of 112112121123030 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, thirty".