124320 has 96 divisors (see below), whose sum is σ = 459648. Its totient is φ = 27648.

The previous prime is 124309. The next prime is 124337. The reversal of 124320 is 23421.

Adding to 124320 its reverse (23421), we get a palindrome (147741).

It can be divided in two parts, 124 and 320, that added together give a palindrome (444).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 124296 and 124305.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 74 × 70 × 24.

It is an unprimeable number.

124320 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 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2^{124320} is an apocalyptic number.

124320 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 124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

124320 is an abundant number, since it is smaller than the sum of its proper divisors (335328).

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

124320 is a wasteful number, since it uses less digits than its factorization.

124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 124320 is about 352.5904139366. The cubic root of 124320 is about 49.9091684258.

The spelling of 124320 in words is "one hundred twenty-four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 56 60 70 74 80 84 96 105 111 112 120 140 148 160 168 185 210 222 224 240 259 280 296 336 370 420 444 480 518 555 560 592 672 740 777 840 888 1036 1110 1120 1184 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3360 3552 3885 4144 4440 5180 5920 6216 7770 8288 8880 10360 12432 15540 17760 20720 24864 31080 41440 62160 124320

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