12578181120 has 624 divisors, whose sum is σ = 47832818880. Its totient is φ = 3133734912.

The previous prime is 12578181059. The next prime is 12578181137. The reversal of 12578181120 is 2118187521.

12578181120 is a `hidden beast` number, since 1 + 2 + 578 + 1 + 81 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292515819 + ... + 292515861.

Almost surely, 2^12578181120 is an apocalyptic number.

12578181120 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 12578181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23916409440).

12578181120 is an abundant number, since it is smaller than the sum of its proper divisors (35254637760).

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

12578181120 is an equidigital number, since it uses as much as digits as its factorization.

12578181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 12578181120 in words is "twelve billion, five hundred seventy-eight million, one hundred eighty-one thousand, one hundred twenty".