1114224011120 has 160 divisors (see below), whose sum is σ = 2852014959360. Its totient is φ = 401465272320.

The previous prime is 1114224011093. The next prime is 1114224011149. The reversal of 1114224011120 is 211104224111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1114224011092 and 1114224011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63964652 + ... + 63982068.

It is an arithmetic number, because the mean of its divisors is an integer number (17825093496).

Almost surely, 2^{1114224011120} is an apocalyptic number.

1114224011120 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 1114224011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426007479680).

1114224011120 is an abundant number, since it is smaller than the sum of its proper divisors (1737790948240).

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

1114224011120 is a wasteful number, since it uses less digits than its factorization.

1114224011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1114224011120 its reverse (211104224111), we get a palindrome (1325328235231).

The spelling of 1114224011120 in words is "one trillion, one hundred fourteen billion, two hundred twenty-four million, eleven thousand, one hundred twenty".