112211201001200 has 240 divisors, whose sum is σ = 308492210949120. Its totient is φ = 38423456194560.

The previous prime is 112211201001181. The next prime is 112211201001209. The reversal of 112211201001200 is 2100102112211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211201001209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8394636917 + ... + 8394650283.

It is an arithmetic number, because the mean of its divisors is an integer number (1285384212288).

Almost surely, 2^{112211201001200} is an apocalyptic number.

112211201001200 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 112211201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154246105474560).

112211201001200 is an abundant number, since it is smaller than the sum of its proper divisors (196281009947920).

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

112211201001200 is a wasteful number, since it uses less digits than its factorization.

112211201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211201001200 its reverse (2100102112211), we get a palindrome (114311303113411).

The spelling of 112211201001200 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred one million, one thousand, two hundred".