112121110001200 has 120 divisors (see below), whose sum is σ = 272100171648528. Its totient is φ = 44395058749440.

The previous prime is 112121110001177. The next prime is 112121110001207. The reversal of 112121110001200 is 2100011121211.

It is a happy number.

It is a super-2 number, since 2×112121110001200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121110001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33996444 + ... + 37148356.

Almost surely, 2^{112121110001200} is an apocalyptic number.

112121110001200 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 112121110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136050085824264).

112121110001200 is an abundant number, since it is smaller than the sum of its proper divisors (159979061647328).

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

112121110001200 is a wasteful number, since it uses less digits than its factorization.

112121110001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152831 (or 3152820 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112121110001200 its reverse (2100011121211), we get a palindrome (114221121122411).

The spelling of 112121110001200 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred ten million, one thousand, two hundred".