112211210112000 has 176 divisors, whose sum is σ = 373256565313632. Its totient is φ = 29922989260800.

The previous prime is 112211210111981. The next prime is 112211210112007. The reversal of 112211210112000 is 211012112211.

It is a happy number.

112211210112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112211210112000² (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 not an unprimeable number, because it can be changed into a prime (112211210112007) 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 15 ways as a sum of consecutive naturals, for example, 145724347 + ... + 146492346.

It is an arithmetic number, because the mean of its divisors is an integer number (2120775939282).

Almost surely, 2^{112211210112000} is an apocalyptic number.

112211210112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211210112000 is an abundant number, since it is smaller than the sum of its proper divisors (261045355201632).

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

112211210112000 is an equidigital number, since it uses as much as digits as its factorization.

112211210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292216731 (or 292216703 counting only the distinct ones).

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

Adding to 112211210112000 its reverse (211012112211), we get a palindrome (112422222224211).

The spelling of 112211210112000 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand".