12527336781120 has 448 divisors, whose sum is σ = 46768330192896. Its totient is φ = 2781022740480.

The previous prime is 12527336781077. The next prime is 12527336781121. The reversal of 12527336781120 is 2118763372521.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12527336781120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527336781121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139939575 + ... + 140029065.

Almost surely, 2^{12527336781120} is an apocalyptic number.

12527336781120 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 12527336781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384165096448).

12527336781120 is an abundant number, since it is smaller than the sum of its proper divisors (34240993411776).

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

12527336781120 is a wasteful number, since it uses less digits than its factorization.

12527336781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90118 (or 90108 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 12527336781120 in words is "twelve trillion, five hundred twenty-seven billion, three hundred thirty-six million, seven hundred eighty-one thousand, one hundred twenty".