12542055552000 has 880 divisors, whose sum is σ = 50337413158032. Its totient is φ = 3087242035200.

The previous prime is 12542055551959. The next prime is 12542055552007. The reversal of 12542055552000 is 25555024521.

12542055552000 is a `hidden beast` number, since 1 + 2 + 54 + 2 + 0 + 55 + 552 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3421848830976 + 9120206721024 = 1849824^2 + 3019968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542055552007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134737474 + ... + 134830526.

Almost surely, 2^{12542055552000} is an apocalyptic number.

12542055552000 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 12542055552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168706579016).

12542055552000 is an abundant number, since it is smaller than the sum of its proper divisors (37795357606032).

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

12542055552000 is an equidigital number, since it uses as much as digits as its factorization.

12542055552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93113 (or 93076 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

It can be divided in two parts, 1254205 and 5552000, that added together give a triangular number (6806205 = T₃₆₈₉).

The spelling of 12542055552000 in words is "twelve trillion, five hundred forty-two billion, fifty-five million, five hundred fifty-two thousand".