112101221201200 has 240 divisors, whose sum is σ = 339104113447680. Its totient is φ = 34594692480000.

The previous prime is 112101221201197. The next prime is 112101221201267. The reversal of 112101221201200 is 2102122101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14907270 + ... + 21128869.

It is an arithmetic number, because the mean of its divisors is an integer number (1412933806032).

Almost surely, 2^{112101221201200} is an apocalyptic number.

112101221201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101221201200 is an abundant number, since it is smaller than the sum of its proper divisors (227002892246480).

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

112101221201200 is a wasteful number, since it uses less digits than its factorization.

112101221201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36036276 (or 36036265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112101221201200 its reverse (2102122101211), we get a palindrome (114203343302411).

The spelling of 112101221201200 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred".