12403986508704 has 384 divisors, whose sum is σ = 39932979609600. Its totient is φ = 3294400564224.

The previous prime is 12403986508703. The next prime is 12403986508709. The reversal of 12403986508704 is 40780568930421.

It is a happy number.

It is a super-2 number, since 2×12403986508704² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12403986508703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132210099 + ... + 132303885.

It is an arithmetic number, because the mean of its divisors is an integer number (103992134400).

It is a 1-persistent number, because it is pandigital, but 2⋅12403986508704 = 24807973017408 is not.

Almost surely, 2^{12403986508704} is an apocalyptic number.

12403986508704 is a gapful number since it is divisible by the number (14) 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 12403986508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966489804800).

12403986508704 is an abundant number, since it is smaller than the sum of its proper divisors (27528993100896).

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

12403986508704 is a wasteful number, since it uses less digits than its factorization.

12403986508704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94072 (or 94064 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 12403986508704 in words is "twelve trillion, four hundred three billion, nine hundred eighty-six million, five hundred eight thousand, seven hundred four".