124416 has 60 divisors (see below), whose sum is σ = 372372. Its totient is φ = 41472.

The previous prime is 124367. The next prime is 124427. The reversal of 124416 is 614421.

Multipling 124416 by its product of digits (192), we get a cube (23887872 = 288^{3}).

Adding to 124416 its reverse (614421), we get a palindrome (738837).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (3!)^{3}.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

124416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41471 + 41472 + 41473.

124416 is a Friedman number, since it can be written as 6*(2*(4+1+1))^4, using all its digits and the basic arithmetic operations.

2^{124416} is an apocalyptic number.

124416 is a gapful number since it is divisible by the number (16) 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 124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186186).

124416 is an abundant number, since it is smaller than the sum of its proper divisors (247956).

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

124416 is an frugal number, since it uses more digits than its factorization.

124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 5 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 124416 is about 352.7265229608. The cubic root of 124416 is about 49.9220117532.

The spelling of 124416 in words is "one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 62208 124416

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