112201210011000 has 512 divisors, whose sum is σ = 385199732736000. Its totient is φ = 26965576512000.

The previous prime is 112201210010959. The next prime is 112201210011031. The reversal of 112201210011000 is 110012102211.

It is a super-2 number, since 2×112201210011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2088642141 + ... + 2088695859.

It is an arithmetic number, because the mean of its divisors is an integer number (752343228000).

Almost surely, 2^{112201210011000} is an apocalyptic number.

112201210011000 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 112201210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192599866368000).

112201210011000 is an abundant number, since it is smaller than the sum of its proper divisors (272998522725000).

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

112201210011000 is a wasteful number, since it uses less digits than its factorization.

112201210011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54300 (or 54286 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112201210011000 its reverse (110012102211), we get a palindrome (112311222113211).

The spelling of 112201210011000 in words is "one hundred twelve trillion, two hundred one billion, two hundred ten million, eleven thousand".