12142434304 has 192 divisors, whose sum is σ = 32603800320. Its totient is φ = 4366172160.

The previous prime is 12142434301. The next prime is 12142434307. The reversal of 12142434304 is 40343424121.

It is an interprime number because it is at equal distance from previous prime (12142434301) and next prime (12142434307).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142434301) 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, 2047087 + ... + 2053009.

It is an arithmetic number, because the mean of its divisors is an integer number (169811460).

Almost surely, 2^12142434304 is an apocalyptic number.

12142434304 is a gapful number since it is divisible by the number (14) 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 12142434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301900160).

12142434304 is an abundant number, since it is smaller than the sum of its proper divisors (20461366016).

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

12142434304 is a wasteful number, since it uses less digits than its factorization.

12142434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12142434304 its reverse (40343424121), we get a palindrome (52485858425).

The spelling of 12142434304 in words is "twelve billion, one hundred forty-two million, four hundred thirty-four thousand, three hundred four".