12000121101000 has 192 divisors, whose sum is σ = 40572233910000. Its totient is φ = 3199099392000.

The previous prime is 12000121100999. The next prime is 12000121101011. The reversal of 12000121101000 is 10112100021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1282053469284 + 10718067631716 = 1132278^2 + 3273846^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30956376 + ... + 31341624.

Almost surely, 2^{12000121101000} is an apocalyptic number.

12000121101000 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 12000121101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286116955000).

12000121101000 is an abundant number, since it is smaller than the sum of its proper divisors (28572112809000).

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

12000121101000 is a wasteful number, since it uses less digits than its factorization.

12000121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388737 (or 388720 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000121101000 its reverse (10112100021), we get a palindrome (12010233201021).

The spelling of 12000121101000 in words is "twelve trillion, one hundred twenty-one million, one hundred one thousand".