112100331200 has 336 divisors, whose sum is σ = 328020005376. Its totient is φ = 37168435200.

The previous prime is 112100331131. The next prime is 112100331209. The reversal of 112100331200 is 2133001211.

It is not an unprimeable number, because it can be changed into a prime (112100331209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18987449 + ... + 18993351.

It is an arithmetic number, because the mean of its divisors is an integer number (976250016).

Almost surely, 2^112100331200 is an apocalyptic number.

112100331200 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 112100331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164010002688).

112100331200 is an abundant number, since it is smaller than the sum of its proper divisors (215919674176).

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

112100331200 is a wasteful number, since it uses less digits than its factorization.

112100331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112100331200 its reverse (2133001211), we get a palindrome (114233332411).

The spelling of 112100331200 in words is "one hundred twelve billion, one hundred million, three hundred thirty-one thousand, two hundred".