112010001012 has 576 divisors, whose sum is σ = 392861145600. Its totient is φ = 27271157760.

The previous prime is 112010001007. The next prime is 112010001083. The reversal of 112010001012 is 210100010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112010000985 and 112010001003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45885712 + ... + 45888152.

It is an arithmetic number, because the mean of its divisors is an integer number (682050600).

Almost surely, 2^112010001012 is an apocalyptic number.

112010001012 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 112010001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196430572800).

112010001012 is an abundant number, since it is smaller than the sum of its proper divisors (280851144588).

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

112010001012 is a wasteful number, since it uses less digits than its factorization.

112010001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112010001012 its reverse (210100010211), we get a palindrome (322110011223).

The spelling of 112010001012 in words is "one hundred twelve billion, ten million, one thousand, twelve".