124001144400 has 360 divisors, whose sum is σ = 466410817440. Its totient is φ = 28076805120.

The previous prime is 124001144389. The next prime is 124001144413. The reversal of 124001144400 is 4441100421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6281746 + ... + 6301454.

It is an arithmetic number, because the mean of its divisors is an integer number (1295585604).

Almost surely, 2^124001144400 is an apocalyptic number.

124001144400 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 124001144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233205408720).

124001144400 is an abundant number, since it is smaller than the sum of its proper divisors (342409673040).

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

124001144400 is a wasteful number, since it uses less digits than its factorization.

124001144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 124001144400 its reverse (4441100421), we get a palindrome (128442244821).

The spelling of 124001144400 in words is "one hundred twenty-four billion, one million, one hundred forty-four thousand, four hundred".