12042534214040 has 128 divisors (see below), whose sum is σ = 30163249566720. Its totient is φ = 4289832768000.

The previous prime is 12042534214033. The next prime is 12042534214111. The reversal of 12042534214040 is 4041243524021.

It is a junction number, because it is equal to n+sod(n) for n = 12042534213988 and 12042534214006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14688965 + ... + 15487115.

It is an arithmetic number, because the mean of its divisors is an integer number (235650387240).

Almost surely, 2^{12042534214040} is an apocalyptic number.

12042534214040 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 12042534214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081624783360).

12042534214040 is an abundant number, since it is smaller than the sum of its proper divisors (18120715352680).

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

12042534214040 is a wasteful number, since it uses less digits than its factorization.

12042534214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798873 (or 798869 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 12042534214040 its reverse (4041243524021), we get a palindrome (16083777738061).

The spelling of 12042534214040 in words is "twelve trillion, forty-two billion, five hundred thirty-four million, two hundred fourteen thousand, forty".