12042434314020 has 192 divisors, whose sum is σ = 38953643323392. Its totient is φ = 2747247360000.

The previous prime is 12042434314013. The next prime is 12042434314051. The reversal of 12042434314020 is 2041343424021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80159175 + ... + 80309265.

It is an arithmetic number, because the mean of its divisors is an integer number (202883558976).

Almost surely, 2^{12042434314020} is an apocalyptic number.

12042434314020 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 12042434314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476821661696).

12042434314020 is an abundant number, since it is smaller than the sum of its proper divisors (26911209009372).

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

12042434314020 is a wasteful number, since it uses less digits than its factorization.

12042434314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157282 (or 157280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12042434314020 its reverse (2041343424021), we get a palindrome (14083777738041).

The spelling of 12042434314020 in words is "twelve trillion, forty-two billion, four hundred thirty-four million, three hundred fourteen thousand, twenty".