12111100320 has 192 divisors, whose sum is σ = 41677493760. Its totient is φ = 2931840000.

The previous prime is 12111100319. The next prime is 12111100357. The reversal of 12111100320 is 2300111121.

It is a super-2 number, since 2×12111100320² (a number of 21 digits) contains 22 as substring.

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 = 12111100296 and 12111100305.

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, 5379195 + ... + 5381445.

It is an arithmetic number, because the mean of its divisors is an integer number (217070280).

Almost surely, 2^12111100320 is an apocalyptic number.

12111100320 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 12111100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20838746880).

12111100320 is an abundant number, since it is smaller than the sum of its proper divisors (29566393440).

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

12111100320 is a wasteful number, since it uses less digits than its factorization.

12111100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3291 counting only the distinct ones).

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

Adding to 12111100320 its reverse (2300111121), we get a palindrome (14411211441).

The spelling of 12111100320 in words is "twelve billion, one hundred eleven million, one hundred thousand, three hundred twenty".