12140541422016 has 224 divisors, whose sum is σ = 37090151465472. Its totient is φ = 3432900710400.

The previous prime is 12140541422003. The next prime is 12140541422033. The reversal of 12140541422016 is 61022414504121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336219835 + ... + 336255941.

It is an arithmetic number, because the mean of its divisors is an integer number (165581033328).

Almost surely, 2^{12140541422016} is an apocalyptic number.

12140541422016 is a gapful number since it is divisible by the number (16) 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 12140541422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545075732736).

12140541422016 is an abundant number, since it is smaller than the sum of its proper divisors (24949610043456).

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

12140541422016 is a wasteful number, since it uses less digits than its factorization.

12140541422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38707 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 12140541422016 its reverse (61022414504121), we get a palindrome (73162955926137).

The spelling of 12140541422016 in words is "twelve trillion, one hundred forty billion, five hundred forty-one million, four hundred twenty-two thousand, sixteen".