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12218880 = 29353743
BaseRepresentation
bin101110100111…
…001000000000
3211222210011010
4232213020000
511112001010
61113520520
7205600362
oct56471000
924883133
1012218880
116996253
124113140
1326ba80b
1418a0d32
151115620
hexba7200

12218880 has 160 divisors (see below), whose sum is σ = 41050944. Its totient is φ = 3096576.

The previous prime is 12218873. The next prime is 12218891. The reversal of 12218880 is 8881221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284139 + ... + 284181.

Almost surely, 212218880 is an apocalyptic number.

12218880 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 12218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525472).

12218880 is an abundant number, since it is smaller than the sum of its proper divisors (28832064).

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

12218880 is an equidigital number, since it uses as much as digits as its factorization.

12218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 12218880 is about 3495.5514586400. The cubic root of 12218880 is about 230.3264425680.

It can be divided in two parts, 1221 and 8880, that added together give a palindrome (10101).

The spelling of 12218880 in words is "twelve million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 43 48 60 64 74 80 86 96 111 120 128 129 148 160 172 185 192 215 222 240 256 258 296 320 344 370 384 430 444 480 512 516 555 592 640 645 688 740 768 860 888 960 1032 1110 1184 1280 1290 1376 1480 1536 1591 1720 1776 1920 2064 2220 2368 2560 2580 2752 2960 3182 3440 3552 3840 4128 4440 4736 4773 5160 5504 5920 6364 6880 7104 7680 7955 8256 8880 9472 9546 10320 11008 11840 12728 13760 14208 15910 16512 17760 18944 19092 20640 22016 23680 23865 25456 27520 28416 31820 33024 35520 38184 41280 47360 47730 50912 55040 56832 63640 66048 71040 76368 82560 94720 95460 101824 110080 127280 142080 152736 165120 190920 203648 254560 284160 305472 330240 381840 407296 509120 610944 763680 814592 1018240 1221888 1527360 2036480 2443776 3054720 4072960 6109440 12218880