12542120444880 has 1280 divisors, whose sum is σ = 51469985710080. Its totient is φ = 2780399001600.

The previous prime is 12542120444879. The next prime is 12542120444881. The reversal of 12542120444880 is 8844402124521.

12542120444880 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 120 + 4 + 448 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12542120444879) and next prime (12542120444881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542120444881) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 740770015 + ... + 740786945.

It is an arithmetic number, because the mean of its divisors is an integer number (40210926336).

Almost surely, 2^{12542120444880} is an apocalyptic number.

12542120444880 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 12542120444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734992855040).

12542120444880 is an abundant number, since it is smaller than the sum of its proper divisors (38927865265200).

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

12542120444880 is a wasteful number, since it uses less digits than its factorization.

12542120444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17057 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 12542120444880 in words is "twelve trillion, five hundred forty-two billion, one hundred twenty million, four hundred forty-four thousand, eight hundred eighty".