12000121200010 has 8 divisors (see below), whose sum is σ = 21600218160036. Its totient is φ = 4800048480000.

The previous prime is 12000121199993. The next prime is 12000121200019. The reversal of 12000121200010 is 1000212100021.

It can be written as a sum of positive squares in 2 ways, for example, as 11519052724729 + 481068475281 = 3393973^2 + 693591^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1200012120001 = 12000121200010 / (1 + 2 + 0 + 0 + 0 + 1 + 2 + 1 + 2 + 0 + 0 + 0 + 1 + 0).

It is a self number, because there is not a number n which added to its sum of digits gives 12000121200010.

It is not an unprimeable number, because it can be changed into a prime (12000121200019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600006059991 + ... + 600006060010.

Almost surely, 2^{12000121200010} is an apocalyptic number.

12000121200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000121200010 is a deficient number, since it is larger than the sum of its proper divisors (9600096960026).

12000121200010 is a wasteful number, since it uses less digits than its factorization.

12000121200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200012120008.

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

Adding to 12000121200010 its reverse (1000212100021), we get a palindrome (13000333300031).

The spelling of 12000121200010 in words is "twelve trillion, one hundred twenty-one million, two hundred thousand, ten".