112202101212012 has 144 divisors (see below), whose sum is σ = 335396231876160. Its totient is φ = 30944955396096.

The previous prime is 112202101211987. The next prime is 112202101212031. The reversal of 112202101212012 is 210212101202211.

112202101212012 is a `hidden beast` number, since 11 + 220 + 210 + 1 + 21 + 201 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 28997428 + ... + 32638244.

It is an arithmetic number, because the mean of its divisors is an integer number (2329140499140).

Almost surely, 2^{112202101212012} is an apocalyptic number.

112202101212012 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 112202101212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167698115938080).

112202101212012 is an abundant number, since it is smaller than the sum of its proper divisors (223194130664148).

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

112202101212012 is a wasteful number, since it uses less digits than its factorization.

112202101212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645080 (or 3645075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202101212012 its reverse (210212101202211), we get a palindrome (322414202414223).

The spelling of 112202101212012 in words is "one hundred twelve trillion, two hundred two billion, one hundred one million, two hundred twelve thousand, twelve".