11122380118080 has 672 divisors, whose sum is σ = 47834016721920. Its totient is φ = 2304467619840.

The previous prime is 11122380118037. The next prime is 11122380118081. The reversal of 11122380118080 is 8081108322111.

11122380118080 is a `hidden beast` number, since 1 + 1 + 1 + 22 + 380 + 1 + 180 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11122380118080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11122380118081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76878451 + ... + 77022989.

Almost surely, 2^{11122380118080} is an apocalyptic number.

11122380118080 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 11122380118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917008360960).

11122380118080 is an abundant number, since it is smaller than the sum of its proper divisors (36711636603840).

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

11122380118080 is a wasteful number, since it uses less digits than its factorization.

11122380118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144927 (or 144914 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 11122380118080 in words is "eleven trillion, one hundred twenty-two billion, three hundred eighty million, one hundred eighteen thousand, eighty".