112011121211000 has 256 divisors, whose sum is σ = 318687885734400. Its totient is φ = 36317705472000.

The previous prime is 112011121210907. The next prime is 112011121211009. The reversal of 112011121211000 is 112121110211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011121211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12209894 + ... + 19315893.

It is an arithmetic number, because the mean of its divisors is an integer number (1244874553650).

Almost surely, 2^{112011121211000} is an apocalyptic number.

112011121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011121211000 is an abundant number, since it is smaller than the sum of its proper divisors (206676764523400).

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

112011121211000 is a wasteful number, since it uses less digits than its factorization.

112011121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31525855 (or 31525841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112011121211000 its reverse (112121110211), we get a palindrome (112123242321211).

The spelling of 112011121211000 in words is "one hundred twelve trillion, eleven billion, one hundred twenty-one million, two hundred eleven thousand".