12145042240 has 112 divisors (see below), whose sum is σ = 30077084880. Its totient is φ = 4665507840.

The previous prime is 12145042223. The next prime is 12145042241. The reversal of 12145042240 is 4224054121.

It can be written as a sum of positive squares in 8 ways, for example, as 615436864 + 11529605376 = 24808^2 + 107376^2 .

It is a super-2 number, since 2×12145042240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145042241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787650 + ... + 1794430.

Almost surely, 2^12145042240 is an apocalyptic number.

12145042240 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 12145042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038542440).

12145042240 is an abundant number, since it is smaller than the sum of its proper divisors (17932042640).

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

12145042240 is a wasteful number, since it uses less digits than its factorization.

12145042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12145042240 its reverse (4224054121), we get a palindrome (16369096361).

The spelling of 12145042240 in words is "twelve billion, one hundred forty-five million, forty-two thousand, two hundred forty".