112211120221200 has 1920 divisors, whose sum is σ = 536575656960000. Its totient is φ = 21509618688000.

The previous prime is 112211120221199. The next prime is 112211120221219. The reversal of 112211120221200 is 2122021112211.

112211120221200 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 1 + 20 + 221 + 200 = 666.

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 383 ways as a sum of consecutive naturals, for example, 32421587470 + ... + 32421590930.

It is an arithmetic number, because the mean of its divisors is an integer number (279466488000).

Almost surely, 2^{112211120221200} is an apocalyptic number.

112211120221200 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 112211120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268287828480000).

112211120221200 is an abundant number, since it is smaller than the sum of its proper divisors (424364536738800).

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

112211120221200 is a wasteful number, since it uses less digits than its factorization.

112211120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211120221200 its reverse (2122021112211), we get a palindrome (114333141333411).

It can be divided in two parts, 1122111 and 20221200, that added together give a triangular number (21343311 = T₆₅₃₃).

The spelling of 112211120221200 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".