13124450122400 has 144 divisors (see below), whose sum is σ = 33148325793240. Its totient is φ = 5068228300800.

The previous prime is 13124450122391. The next prime is 13124450122409. The reversal of 13124450122400 is 422105442131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13124450122391) and next prime (13124450122409).

It can be written as a sum of positive squares in 12 ways, for example, as 2507826966544 + 10616623155856 = 1583612^2 + 3258316^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (13124450122409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282947210 + ... + 282993590.

Almost surely, 2^{13124450122400} is an apocalyptic number.

13124450122400 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 13124450122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574162896620).

13124450122400 is an abundant number, since it is smaller than the sum of its proper divisors (20023875670840).

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

13124450122400 is a wasteful number, since it uses less digits than its factorization.

13124450122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58627 (or 58614 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 13124450122400 its reverse (422105442131), we get a palindrome (13546555564531).

The spelling of 13124450122400 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fifty million, one hundred twenty-two thousand, four hundred".