12400128000 has 1040 divisors, whose sum is σ = 51950074176. Its totient is φ = 2919628800.

The previous prime is 12400127983. The next prime is 12400128011. The reversal of 12400128000 is 82100421.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-3 number, since 3×12400128000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 539135989 + ... + 539136011.

Almost surely, 2^12400128000 is an apocalyptic number.

12400128000 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 12400128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25975037088).

12400128000 is an abundant number, since it is smaller than the sum of its proper divisors (39549946176).

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

12400128000 is an equidigital number, since it uses as much as digits as its factorization.

12400128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12400128000 its reverse (82100421), we get a palindrome (12482228421).

The spelling of 12400128000 in words is "twelve billion, four hundred million, one hundred twenty-eight thousand".