112002201122000 has 320 divisors, whose sum is σ = 313109149017600. Its totient is φ = 37954556006400.

The previous prime is 112002201121999. The next prime is 112002201122047. The reversal of 112002201122000 is 221102200211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3492521966 + ... + 3492554034.

It is an arithmetic number, because the mean of its divisors is an integer number (978466090680).

Almost surely, 2^{112002201122000} is an apocalyptic number.

112002201122000 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 112002201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156554574508800).

112002201122000 is an abundant number, since it is smaller than the sum of its proper divisors (201106947895600).

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

112002201122000 is a wasteful number, since it uses less digits than its factorization.

112002201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34991 (or 34975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112002201122000 its reverse (221102200211), we get a palindrome (112223303322211).

The spelling of 112002201122000 in words is "one hundred twelve trillion, two billion, two hundred one million, one hundred twenty-two thousand".