12420142105056 has 192 divisors, whose sum is σ = 37750481879040. Its totient is φ = 3502232778240.

The previous prime is 12420142105043. The next prime is 12420142105097. The reversal of 12420142105056 is 65050124102421.

It is a happy number.

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, 15919735 + ... + 16681673.

It is an arithmetic number, because the mean of its divisors is an integer number (196617093120).

Almost surely, 2^{12420142105056} is an apocalyptic number.

12420142105056 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 12420142105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875240939520).

12420142105056 is an abundant number, since it is smaller than the sum of its proper divisors (25330339773984).

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

12420142105056 is a wasteful number, since it uses less digits than its factorization.

12420142105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762277 (or 762269 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 12420142105056 its reverse (65050124102421), we get a palindrome (77470266207477).

The spelling of 12420142105056 in words is "twelve trillion, four hundred twenty billion, one hundred forty-two million, one hundred five thousand, fifty-six".