11112122101200 has 60 divisors (see below), whose sum is σ = 35595831134688. Its totient is φ = 2963232560000.

The previous prime is 11112122101177. The next prime is 11112122101229. The reversal of 11112122101200 is 210122121111.

It is a happy number.

11112122101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11112122101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4630049676 + ... + 4630052075.

Almost surely, 2^{11112122101200} is an apocalyptic number.

11112122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112122101200 is an abundant number, since it is smaller than the sum of its proper divisors (24483709033488).

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

11112122101200 is a wasteful number, since it uses less digits than its factorization.

11112122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260101772 (or 9260101761 counting only the distinct ones).

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

Adding to 11112122101200 its reverse (210122121111), we get a palindrome (11322244222311).

The spelling of 11112122101200 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred".