12142540240000 has 160 divisors (see below), whose sum is σ = 30871255536000. Its totient is φ = 4753673856000.

The previous prime is 12142540239913. The next prime is 12142540240007. The reversal of 12142540240000 is 4204524121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12142540240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2145301 + ... + 5374699.

It is an arithmetic number, because the mean of its divisors is an integer number (192945347100).

Almost surely, 2^{12142540240000} is an apocalyptic number.

12142540240000 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 12142540240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435627768000).

12142540240000 is an abundant number, since it is smaller than the sum of its proper divisors (18728715296000).

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

12142540240000 is an frugal number, since it uses more digits than its factorization.

12142540240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229480 (or 3229453 counting only the distinct ones).

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

Adding to 12142540240000 its reverse (4204524121), we get a palindrome (12146744764121).

The spelling of 12142540240000 in words is "twelve trillion, one hundred forty-two billion, five hundred forty million, two hundred forty thousand".