112112201122000 has 80 divisors (see below), whose sum is σ = 273037571352000. Its totient is φ = 44522255299200.

The previous prime is 112112201121983. The next prime is 112112201122001. The reversal of 112112201122000 is 221102211211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112201122001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201362650 + ... + 201918649.

It is an arithmetic number, because the mean of its divisors is an integer number (3412969641900).

Almost surely, 2^{112112201122000} is an apocalyptic number.

112112201122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112201122000 is an abundant number, since it is smaller than the sum of its proper divisors (160925370230000).

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

112112201122000 is a wasteful number, since it uses less digits than its factorization.

112112201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403281461 (or 403281445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112112201122000 its reverse (221102211211), we get a palindrome (112333303333211).

The spelling of 112112201122000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred one million, one hundred twenty-two thousand".