12145541300 has 72 divisors (see below), whose sum is σ = 26610927000. Its totient is φ = 4811397120.

The previous prime is 12145541297. The next prime is 12145541357. The reversal of 12145541300 is 314554121.

12145541300 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 12 ways, for example, as 1740725284 + 10404816016 = 41722^2 + 102004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12145541300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6093104 + ... + 6095096.

Almost surely, 2^12145541300 is an apocalyptic number.

12145541300 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 12145541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305463500).

12145541300 is an abundant number, since it is smaller than the sum of its proper divisors (14465385700).

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

12145541300 is a wasteful number, since it uses less digits than its factorization.

12145541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 12145541300 in words is "twelve billion, one hundred forty-five million, five hundred forty-one thousand, three hundred".