201120112111200 has 144 divisors (see below), whose sum is σ = 656123724518976. Its totient is φ = 53510964083200.

The previous prime is 201120112111129. The next prime is 201120112111231. The reversal of 201120112111200 is 2111211021102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201120112111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93519246 + ... + 95645645.

It is an arithmetic number, because the mean of its divisors is an integer number (4556414753604).

Almost surely, 2^{201120112111200} is an apocalyptic number.

201120112111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120112111200 is an abundant number, since it is smaller than the sum of its proper divisors (455003612407776).

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

201120112111200 is a wasteful number, since it uses less digits than its factorization.

201120112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189165357 (or 189165344 counting only the distinct ones).

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

Adding to 201120112111200 its reverse (2111211021102), we get a palindrome (203231323132302).

The spelling of 201120112111200 in words is "two hundred one trillion, one hundred twenty billion, one hundred twelve million, one hundred eleven thousand, two hundred".