112121102011200 has 672 divisors, whose sum is σ = 374240824304256. Its totient is φ = 29384614871040.

The previous prime is 112121102011189. The next prime is 112121102011201. The reversal of 112121102011200 is 2110201121211.

It is a happy number.

It is a super-2 number, since 2×112121102011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112121102011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121102011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48058765234 + ... + 48058767566.

It is an arithmetic number, because the mean of its divisors is an integer number (556905988548).

Almost surely, 2^{112121102011200} is an apocalyptic number.

112121102011200 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 112121102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187120412152128).

112121102011200 is an abundant number, since it is smaller than the sum of its proper divisors (262119722293056).

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

112121102011200 is a wasteful number, since it uses less digits than its factorization.

112121102011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112121102011200 its reverse (2110201121211), we get a palindrome (114231303132411).

The spelling of 112121102011200 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, two hundred".