112201100022000 has 320 divisors, whose sum is σ = 394731231298560. Its totient is φ = 27192701056000.

The previous prime is 112201100021977. The next prime is 112201100022041. The reversal of 112201100022000 is 220001102211.

112201100022000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112201100022000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 238883386 + ... + 239352614.

It is an arithmetic number, because the mean of its divisors is an integer number (1233535097808).

Almost surely, 2^{112201100022000} is an apocalyptic number.

112201100022000 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 112201100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197365615649280).

112201100022000 is an abundant number, since it is smaller than the sum of its proper divisors (282530131276560).

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

112201100022000 is a wasteful number, since it uses less digits than its factorization.

112201100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472889 (or 472873 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112201100022000 its reverse (220001102211), we get a palindrome (112421101124211).

The spelling of 112201100022000 in words is "one hundred twelve trillion, two hundred one billion, one hundred million, twenty-two thousand".