11200112110000 has 400 divisors, whose sum is σ = 30390886028448. Its totient is φ = 3995671680000.

The previous prime is 11200112109959. The next prime is 11200112110007. The reversal of 11200112110000 is 1121100211.

11200112110000 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 (400).

It is a super-2 number, since 2×11200112110000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11200112110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705422062 + ... + 705437938.

Almost surely, 2^{11200112110000} is an apocalyptic number.

11200112110000 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 11200112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195443014224).

11200112110000 is an abundant number, since it is smaller than the sum of its proper divisors (19190773918448).

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

11200112110000 is an equidigital number, since it uses as much as digits as its factorization.

11200112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15991 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11200112110000 its reverse (1121100211), we get a palindrome (11201233210211).

The spelling of 11200112110000 in words is "eleven trillion, two hundred billion, one hundred twelve million, one hundred ten thousand".