112212111111100 has 2592 divisors, whose sum is σ = 367034313925440. Its totient is φ = 29378764800000.

The previous prime is 112212111111059. The next prime is 112212111111173. The reversal of 112212111111100 is 1111111212211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 807281374831 + ... + 807281374969.

It is an arithmetic number, because the mean of its divisors is an integer number (141602744570).

Almost surely, 2^{112212111111100} is an apocalyptic number.

112212111111100 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 112212111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183517156962720).

112212111111100 is an abundant number, since it is smaller than the sum of its proper divisors (254822202814340).

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

112212111111100 is a wasteful number, since it uses less digits than its factorization.

112212111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 112212111111100 its reverse (1111111212211), we get a palindrome (113323222323311).

It can be divided in two parts, 11221211111 and 1100, that added together give a palindrome (11221212211).

The spelling of 112212111111100 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred".