124321344100 has 108 divisors (see below), whose sum is σ = 282698507700. Its totient is φ = 47399089920.

The previous prime is 124321344089. The next prime is 124321344143. The reversal of 124321344100 is 1443123421.

It can be written as a sum of positive squares in 6 ways, for example, as 24764687424 + 99556656676 = 157368^2 + 315526^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18095466 + ... + 18102334.

It is an arithmetic number, because the mean of its divisors is an integer number (2617578775).

Almost surely, 2^124321344100 is an apocalyptic number.

124321344100 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 124321344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141349253850).

124321344100 is an abundant number, since it is smaller than the sum of its proper divisors (158377163600).

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

124321344100 is a wasteful number, since it uses less digits than its factorization.

124321344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 124321344100 its reverse (1443123421), we get a palindrome (125764467521).

The spelling of 124321344100 in words is "one hundred twenty-four billion, three hundred twenty-one million, three hundred forty-four thousand, one hundred".