112001221332000 has 4608 divisors, whose sum is σ = 552498602213376. Its totient is φ = 20735668224000.

The previous prime is 112001221331999. The next prime is 112001221332031. The reversal of 112001221332000 is 233122100211.

112001221332000 is a `hidden beast` number, since 1 + 120 + 0 + 1 + 221 + 3 + 320 + 0 + 0 = 666.

112001221332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 767 ways as a sum of consecutive naturals, for example, 222666443749 + ... + 222666444251.

It is an arithmetic number, because the mean of its divisors is an integer number (119899870272).

Almost surely, 2^{112001221332000} is an apocalyptic number.

112001221332000 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 112001221332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276249301106688).

112001221332000 is an abundant number, since it is smaller than the sum of its proper divisors (440497380881376).

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

112001221332000 is a wasteful number, since it uses less digits than its factorization.

112001221332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112001221332000 its reverse (233122100211), we get a palindrome (112234343432211).

The spelling of 112001221332000 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, three hundred thirty-two thousand".