124242322400 has 432 divisors, whose sum is σ = 375107241600. Its totient is φ = 39952604160.

The previous prime is 124242322291. The next prime is 124242322409. The reversal of 124242322400 is 4223242421.

It is a self number, because there is not a number n which added to its sum of digits gives 124242322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124242322409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79692821 + ... + 79694379.

It is an arithmetic number, because the mean of its divisors is an integer number (868303800).

Almost surely, 2^124242322400 is an apocalyptic number.

124242322400 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 124242322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187553620800).

124242322400 is an abundant number, since it is smaller than the sum of its proper divisors (250864919200).

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

124242322400 is a wasteful number, since it uses less digits than its factorization.

124242322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 124242322400 its reverse (4223242421), we get a palindrome (128465564821).

The spelling of 124242322400 in words is "one hundred twenty-four billion, two hundred forty-two million, three hundred twenty-two thousand, four hundred".