11130021120 has 288 divisors, whose sum is σ = 36789645312. Its totient is φ = 2865995776.

The previous prime is 11130021101. The next prime is 11130021163. The reversal of 11130021120 is 2112003111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11130021096 and 11130021105.

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, 14979469 + ... + 14980211.

It is an arithmetic number, because the mean of its divisors is an integer number (127741824).

Almost surely, 2^11130021120 is an apocalyptic number.

11130021120 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 11130021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394822656).

11130021120 is an abundant number, since it is smaller than the sum of its proper divisors (25659624192).

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

11130021120 is an equidigital number, since it uses as much as digits as its factorization.

11130021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11130021120 its reverse (2112003111), we get a palindrome (13242024231).

The spelling of 11130021120 in words is "eleven billion, one hundred thirty million, twenty-one thousand, one hundred twenty".