112001221212000 has 192 divisors, whose sum is σ = 367098534286848. Its totient is φ = 29852134080000.

The previous prime is 112001221211981. The next prime is 112001221212019. The reversal of 112001221212000 is 212122100211.

It is an interprime number because it is at equal distance from previous prime (112001221211981) and next prime (112001221212019).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21811405 + ... + 26452595.

It is an arithmetic number, because the mean of its divisors is an integer number (1911971532744).

Almost surely, 2^{112001221212000} is an apocalyptic number.

112001221212000 is a gapful number since it is divisible by the number (10) 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 112001221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183549267143424).

112001221212000 is an abundant number, since it is smaller than the sum of its proper divisors (255097313074848).

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

112001221212000 is a wasteful number, since it uses less digits than its factorization.

112001221212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643230 (or 4643212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112001221212000 its reverse (212122100211), we get a palindrome (112213343312211).

The spelling of 112001221212000 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, two hundred twelve thousand".