124342400000 has 792 divisors, whose sum is σ = 395589415032. Its totient is φ = 38707200000.

The previous prime is 124342399997. The next prime is 124342400011. The reversal of 124342400000 is 4243421.

It can be written as a sum of positive squares in 12 ways, for example, as 99896452096 + 24445947904 = 316064^2 + 156352^2 .

It is a super-2 number, since 2×124342400000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2038399970 + ... + 2038400030.

Almost surely, 2^124342400000 is an apocalyptic number.

124342400000 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 124342400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197794707516).

124342400000 is an abundant number, since it is smaller than the sum of its proper divisors (271247015032).

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

124342400000 is an frugal number, since it uses more digits than its factorization.

124342400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 124342400000 its reverse (4243421), we get a palindrome (124346643421).

The spelling of 124342400000 in words is "one hundred twenty-four billion, three hundred forty-two million, four hundred thousand".