11130312321120 has 192 divisors, whose sum is σ = 35302263333120. Its totient is φ = 2947653285888.

The previous prime is 11130312321059. The next prime is 11130312321131. The reversal of 11130312321120 is 2112321303111.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75243391 + ... + 75391169.

It is an arithmetic number, because the mean of its divisors is an integer number (183865954860).

Almost surely, 2^{11130312321120} is an apocalyptic number.

11130312321120 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 11130312321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651131666560).

11130312321120 is an abundant number, since it is smaller than the sum of its proper divisors (24171951012000).

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

11130312321120 is a wasteful number, since it uses less digits than its factorization.

11130312321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148877 (or 148869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11130312321120 its reverse (2112321303111), we get a palindrome (13242633624231).

The spelling of 11130312321120 in words is "eleven trillion, one hundred thirty billion, three hundred twelve million, three hundred twenty-one thousand, one hundred twenty".