124342400 has 288 divisors, whose sum is σ = 391107780. Its totient is φ = 38707200.

The previous prime is 124342397. The next prime is 124342409. The reversal of 124342400 is 4243421.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 121705024 = 1624^2 + 11032^2 .

It is a super-2 number, since 2×124342400² = 30922064875520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (124342409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2038370 + ... + 2038430.

Almost surely, 2^124342400 is an apocalyptic number.

124342400 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 124342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195553890).

124342400 is an abundant number, since it is smaller than the sum of its proper divisors (266765380).

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

124342400 is a wasteful number, since it uses less digits than its factorization.

124342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

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

The square root of 124342400 is about 11150.8923409743. The cubic root of 124342400 is about 499.1216579339.

Adding to 124342400 its reverse (4243421), we get a palindrome (128585821).

The spelling of 124342400 in words is "one hundred twenty-four million, three hundred forty-two thousand, four hundred".