12054121000 has 64 divisors (see below), whose sum is σ = 28370094480. Its totient is φ = 4793708800.

The previous prime is 12054120983. The next prime is 12054121019. The reversal of 12054121000 is 12145021.

12054121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54671236 + 11999449764 = 7394^2 + 109542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138162 + ... + 207838.

Almost surely, 2^12054121000 is an apocalyptic number.

12054121000 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 12054121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185047240).

12054121000 is an abundant number, since it is smaller than the sum of its proper divisors (16315973480).

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

12054121000 is a wasteful number, since it uses less digits than its factorization.

12054121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69871 (or 69857 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12054121000 its reverse (12145021), we get a palindrome (12066266021).

The spelling of 12054121000 in words is "twelve billion, fifty-four million, one hundred twenty-one thousand".