12142111440 has 80 divisors (see below), whose sum is σ = 37665000000. Its totient is φ = 3235792896.

The previous prime is 12142111409. The next prime is 12142111451. The reversal of 12142111440 is 4411124121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372936 + ... + 404184.

It is an arithmetic number, because the mean of its divisors is an integer number (470812500).

Almost surely, 2^12142111440 is an apocalyptic number.

12142111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142111440 is an abundant number, since it is smaller than the sum of its proper divisors (25522888560).

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

12142111440 is a wasteful number, since it uses less digits than its factorization.

12142111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32884 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12142111440 its reverse (4411124121), we get a palindrome (16553235561).

The spelling of 12142111440 in words is "twelve billion, one hundred forty-two million, one hundred eleven thousand, four hundred forty".