112211101122000 has 640 divisors, whose sum is σ = 367401334809600. Its totient is φ = 29461340160000.

The previous prime is 112211101121993. The next prime is 112211101122011. The reversal of 112211101122000 is 221101112211.

It is a happy number.

112211101122000 is digitally balanced in base 4, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80208077301 + ... + 80208078699.

It is an arithmetic number, because the mean of its divisors is an integer number (574064585640).

Almost surely, 2^{112211101122000} is an apocalyptic number.

112211101122000 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 112211101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183700667404800).

112211101122000 is an abundant number, since it is smaller than the sum of its proper divisors (255190233687600).

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

112211101122000 is a wasteful number, since it uses less digits than its factorization.

112211101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112211101122000 its reverse (221101112211), we get a palindrome (112432202234211).

The spelling of 112211101122000 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two thousand".