12045415000 has 80 divisors (see below), whose sum is σ = 28372417920. Its totient is φ = 4792560000.

The previous prime is 12045414989. The next prime is 12045415007. The reversal of 12045415000 is 51454021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045415007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 948694 + ... + 961306.

It is an arithmetic number, because the mean of its divisors is an integer number (354655224).

Almost surely, 2^12045415000 is an apocalyptic number.

12045415000 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 12045415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186208960).

12045415000 is an abundant number, since it is smaller than the sum of its proper divisors (16327002920).

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

12045415000 is a wasteful number, since it uses less digits than its factorization.

12045415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12811 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 12045415000 its reverse (51454021), we get a palindrome (12096869021).

The spelling of 12045415000 in words is "twelve billion, forty-five million, four hundred fifteen thousand".