13887974129120 has 384 divisors, whose sum is σ = 41480251932672. Its totient is φ = 4276360396800.

The previous prime is 13887974129087. The next prime is 13887974129123. The reversal of 13887974129120 is 2192147978831.

13887974129120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13887974129120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887974129123) 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, 219052625 + ... + 219116015.

It is an arithmetic number, because the mean of its divisors is an integer number (108021489408).

Almost surely, 2^{13887974129120} is an apocalyptic number.

13887974129120 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 13887974129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20740125966336).

13887974129120 is an abundant number, since it is smaller than the sum of its proper divisors (27592277803552).

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

13887974129120 is a wasteful number, since it uses less digits than its factorization.

13887974129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63834 (or 63826 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 62.

The spelling of 13887974129120 in words is "thirteen trillion, eight hundred eighty-seven billion, nine hundred seventy-four million, one hundred twenty-nine thousand, one hundred twenty".