130224312400 has 240 divisors, whose sum is σ = 386700249600. Its totient is φ = 41038663680.

The previous prime is 130224312391. The next prime is 130224312409. The reversal of 130224312400 is 4213422031.

It is an interprime number because it is at equal distance from previous prime (130224312391) and next prime (130224312409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130224312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692116 + ... + 8707084.

It is an arithmetic number, because the mean of its divisors is an integer number (1611251040).

Almost surely, 2^130224312400 is an apocalyptic number.

130224312400 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 130224312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193350124800).

130224312400 is an abundant number, since it is smaller than the sum of its proper divisors (256475937200).

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

130224312400 is a wasteful number, since it uses less digits than its factorization.

130224312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246 (or 15235 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 130224312400 its reverse (4213422031), we get a palindrome (134437734431).

The spelling of 130224312400 in words is "one hundred thirty billion, two hundred twenty-four million, three hundred twelve thousand, four hundred".