11130112122030 has 640 divisors, whose sum is σ = 34242818480640. Its totient is φ = 2570541143040.

The previous prime is 11130112122029. The next prime is 11130112122037. The reversal of 11130112122030 is 3022121103111.

11130112122030 is a `hidden beast` number, since 111 + 301 + 1 + 2 + 1 + 220 + 30 = 666.

It is a super-2 number, since 2×11130112122030² (a number of 27 digits) contains 22 as substring.

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 = 11130112121994 and 11130112122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130112122037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2312507904 + ... + 2312512716.

It is an arithmetic number, because the mean of its divisors is an integer number (53504403876).

Almost surely, 2^{11130112122030} is an apocalyptic number.

11130112122030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130112122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121409240320).

11130112122030 is an abundant number, since it is smaller than the sum of its proper divisors (23112706358610).

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

11130112122030 is a wasteful number, since it uses less digits than its factorization.

11130112122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11130112122030 its reverse (3022121103111), we get a palindrome (14152233225141).

The spelling of 11130112122030 in words is "eleven trillion, one hundred thirty billion, one hundred twelve million, one hundred twenty-two thousand, thirty".