112202120220012 has 144 divisors (see below), whose sum is σ = 304144301260800. Its totient is φ = 34785704790144.

The previous prime is 112202120220011. The next prime is 112202120220013. The reversal of 112202120220012 is 210022021202211.

It is a happy number.

112202120220012 is a `hidden beast` number, since 1 + 1 + 220 + 212 + 0 + 220 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (112202120220011) and next prime (112202120220013).

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

It is not an unprimeable number, because it can be changed into a prime (112202120220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47339989 + ... + 49653587.

It is an arithmetic number, because the mean of its divisors is an integer number (2112113203200).

Almost surely, 2^{112202120220012} is an apocalyptic number.

112202120220012 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 112202120220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152072150630400).

112202120220012 is an abundant number, since it is smaller than the sum of its proper divisors (191942181040788).

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

112202120220012 is a wasteful number, since it uses less digits than its factorization.

112202120220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315252 (or 2315247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112202120220012 its reverse (210022021202211), we get a palindrome (322224141422223).

The spelling of 112202120220012 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand, twelve".