12000121120 has 96 divisors (see below), whose sum is σ = 31584031920. Its totient is φ = 4278005760.

The previous prime is 12000121079. The next prime is 12000121123. The reversal of 12000121120 is 2112100021.

It can be written as a sum of positive squares in 8 ways, for example, as 7512728976 + 4487392144 = 86676^2 + 66988^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000121097 and 12000121106.

It is not an unprimeable number, because it can be changed into a prime (12000121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39151 + ... + 159790.

Almost surely, 2^12000121120 is an apocalyptic number.

12000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000121120 is an abundant number, since it is smaller than the sum of its proper divisors (19583910800).

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

12000121120 is a wasteful number, since it uses less digits than its factorization.

12000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198998 (or 198990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000121120 its reverse (2112100021), we get a palindrome (14112221141).

The spelling of 12000121120 in words is "twelve billion, one hundred twenty-one thousand, one hundred twenty".