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12218040 = 23365419
BaseRepresentation
bin101110100110…
…111010111000
3211222202000000
4232212322320
511111434130
61113513000
7205565052
oct56467270
924882000
1012218040
11699565a
124112760
1326ba313
1418a08d2
151115260
hexba6eb8

12218040 has 112 divisors (see below), whose sum is σ = 41315400. Its totient is φ = 3250368.

The previous prime is 12218033. The next prime is 12218051. The reversal of 12218040 is 4081221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28951 + ... + 29369.

Almost surely, 212218040 is an apocalyptic number.

12218040 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 12218040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657700).

12218040 is an abundant number, since it is smaller than the sum of its proper divisors (29097360).

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

12218040 is an equidigital number, since it uses as much as digits as its factorization.

12218040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12218040 is about 3495.4313038594. The cubic root of 12218040 is about 230.3211644343.

Adding to 12218040 its reverse (4081221), we get a palindrome (16299261).

It can be divided in two parts, 1221 and 8040, that added together give a cube (9261 = 213).

The spelling of 12218040 in words is "twelve million, two hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 419 486 540 648 729 810 838 972 1080 1215 1257 1458 1620 1676 1944 2095 2430 2514 2916 3240 3352 3645 3771 4190 4860 5028 5832 6285 7290 7542 8380 9720 10056 11313 12570 14580 15084 16760 18855 22626 25140 29160 30168 33939 37710 45252 50280 56565 67878 75420 90504 101817 113130 135756 150840 169695 203634 226260 271512 305451 339390 407268 452520 509085 610902 678780 814536 1018170 1221804 1357560 1527255 2036340 2443608 3054510 4072680 6109020 12218040