112012100121012 has 384 divisors, whose sum is σ = 330072373370880. Its totient is φ = 28780800491520.

The previous prime is 112012100121011. The next prime is 112012100121017. The reversal of 112012100121012 is 210121001210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112012100120982 and 112012100121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012100121011) 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, 14373420988 + ... + 14373428780.

It is an arithmetic number, because the mean of its divisors is an integer number (859563472320).

Almost surely, 2^{112012100121012} is an apocalyptic number.

112012100121012 is a gapful number since it is divisible by the number (12) 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 112012100121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165036186685440).

112012100121012 is an abundant number, since it is smaller than the sum of its proper divisors (218060273249868).

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

112012100121012 is a wasteful number, since it uses less digits than its factorization.

112012100121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112012100121012 its reverse (210121001210211), we get a palindrome (322133101331223).

The spelling of 112012100121012 in words is "one hundred twelve trillion, twelve billion, one hundred million, one hundred twenty-one thousand, twelve".