11114214120 has 160 divisors (see below), whose sum is σ = 37706407200. Its totient is φ = 2935999872.

The previous prime is 11114214107. The next prime is 11114214191. The reversal of 11114214120 is 2141241111.

11114214120 is a `hidden beast` number, since 111 + 142 + 1 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11114214093 and 11114214102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330651 + ... + 362709.

It is an arithmetic number, because the mean of its divisors is an integer number (235665045).

Almost surely, 2^11114214120 is an apocalyptic number.

11114214120 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 11114214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853203600).

11114214120 is an abundant number, since it is smaller than the sum of its proper divisors (26592193080).

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

11114214120 is a wasteful number, since it uses less digits than its factorization.

11114214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32189 (or 32176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11114214120 its reverse (2141241111), we get a palindrome (13255455231).

The spelling of 11114214120 in words is "eleven billion, one hundred fourteen million, two hundred fourteen thousand, one hundred twenty".