12045254042340 has 144 divisors (see below), whose sum is σ = 37229852499840. Its totient is φ = 3151732446720.

The previous prime is 12045254042317. The next prime is 12045254042369. The reversal of 12045254042340 is 4324045254021.

12045254042340 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 52 + 540 + 4 + 23 + 40 = 666.

It is a super-2 number, since 2×12045254042340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12045254042295 and 12045254042304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 771184 + ... + 4968423.

It is an arithmetic number, because the mean of its divisors is an integer number (258540642360).

Almost surely, 2^{12045254042340} is an apocalyptic number.

12045254042340 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 12045254042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614926249920).

12045254042340 is an abundant number, since it is smaller than the sum of its proper divisors (25184598457500).

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

12045254042340 is a wasteful number, since it uses less digits than its factorization.

12045254042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739842 (or 5739837 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 12045254042340 its reverse (4324045254021), we get a palindrome (16369299296361).

The spelling of 12045254042340 in words is "twelve trillion, forty-five billion, two hundred fifty-four million, forty-two thousand, three hundred forty".