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12211221120 = 27357908573
BaseRepresentation
bin10110101111101100…
…00111001010000000
31011112000120022020220
423113312013022000
5200002033033440
65335412503040
7611414444520
oct132766071200
934460508226
1012211221120
1151a6a0918a
12244961aa80
1311c7b4a437
1483bac1680
154b70948d0
hex2d7d87280

12211221120 has 128 divisors (see below), whose sum is σ = 44483783040. Its totient is φ = 2791133184.

The previous prime is 12211221109. The next prime is 12211221151. The reversal of 12211221120 is 2112211221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122112211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211221120.

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, 440847 + ... + 467726.

It is an arithmetic number, because the mean of its divisors is an integer number (347529555).

Almost surely, 212211221120 is an apocalyptic number.

12211221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211221120 is an abundant number, since it is smaller than the sum of its proper divisors (32272561920).

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

12211221120 is an equidigital number, since it uses as much as digits as its factorization.

12211221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908602 (or 908590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211221120 its reverse (2112211221), we get a palindrome (14323432341).

The spelling of 12211221120 in words is "twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 908573 1817146 2725719 3634292 4542865 5451438 6360011 7268584 9085730 10902876 12720022 13628595 14537168 18171460 19080033 21805752 25440044 27257190 29074336 31800055 36342920 38160066 43611504 50880088 54514380 58148672 63600110 72685840 76320132 87223008 95400165 101760176 109028760 116297344 127200220 145371680 152640264 174446016 190800330 203520352 218057520 254400440 290743360 305280528 348892032 381600660 407040704 436115040 508800880 581486720 610561056 763201320 814081408 872230080 1017601760 1221122112 1526402640 1744460160 2035203520 2442244224 3052805280 4070407040 6105610560 12211221120