12145542435320 has 128 divisors (see below), whose sum is σ = 31961717821440. Its totient is φ = 4066833899520.

The previous prime is 12145542435293. The next prime is 12145542435329. The reversal of 12145542435320 is 2353424554121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145542435329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102798680 + ... + 102916760.

It is an arithmetic number, because the mean of its divisors is an integer number (249700920480).

Almost surely, 2^{12145542435320} is an apocalyptic number.

12145542435320 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 12145542435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980858910720).

12145542435320 is an abundant number, since it is smaller than the sum of its proper divisors (19816175386120).

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

12145542435320 is a wasteful number, since it uses less digits than its factorization.

12145542435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126685 (or 126681 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 12145542435320 its reverse (2353424554121), we get a palindrome (14498966989441).

The spelling of 12145542435320 in words is "twelve trillion, one hundred forty-five billion, five hundred forty-two million, four hundred thirty-five thousand, three hundred twenty".