12011121120 has 192 divisors, whose sum is σ = 39609077760. Its totient is φ = 3055718400.

The previous prime is 12011121103. The next prime is 12011121169. The reversal of 12011121120 is 2112111021.

It is a super-3 number, since 3×12011121120³ (a number of 31 digits) contains 333 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 = 12011121096 and 12011121105.

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, 1050796 + ... + 1062164.

It is an arithmetic number, because the mean of its divisors is an integer number (206297280).

Almost surely, 2^12011121120 is an apocalyptic number.

12011121120 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 12011121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804538880).

12011121120 is an abundant number, since it is smaller than the sum of its proper divisors (27597956640).

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

12011121120 is a wasteful number, since it uses less digits than its factorization.

12011121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011121120 its reverse (2112111021), we get a palindrome (14123232141).

The spelling of 12011121120 in words is "twelve billion, eleven million, one hundred twenty-one thousand, one hundred twenty".