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12220111002 = 23112329893119
BaseRepresentation
bin10110110000110000…
…00001100010011010
31011112122021221212210
423120120001202122
5200011322023002
65340331215550
7611553141531
oct133030014232
934478257783
1012220111002
115200a302a0
1224505a75b6
1311c9940918
1483cd57318
154b7c4d96c
hex2d860189a

12220111002 has 128 divisors (see below), whose sum is σ = 29113344000. Its totient is φ = 3380410880.

The previous prime is 12220110997. The next prime is 12220111019. The reversal of 12220111002 is 20011102221.

It is a super-2 number, since 2×122201110022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3916399 + ... + 3919517.

It is an arithmetic number, because the mean of its divisors is an integer number (227448000).

Almost surely, 212220111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556672000).

12220111002 is an abundant number, since it is smaller than the sum of its proper divisors (16893232998).

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

12220111002 is a wasteful number, since it uses less digits than its factorization.

12220111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220111002 its reverse (20011102221), we get a palindrome (32231213223).

The spelling of 12220111002 in words is "twelve billion, two hundred twenty million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 89 138 174 178 253 267 319 506 534 638 667 759 957 979 1334 1518 1914 1958 2001 2047 2581 2937 3119 4002 4094 5162 5874 6141 6238 7337 7743 9357 12282 14674 15486 18714 22011 22517 28391 34309 44022 45034 56782 59363 67551 68618 71737 85173 90451 102927 118726 135102 143474 170346 178089 180902 205854 215211 271353 277591 356178 430422 542706 555182 652993 789107 832773 994961 1305986 1578214 1665546 1958979 1989922 2080373 2367321 2984883 3053501 3917958 4160746 4734642 5969766 6107002 6241119 6384593 8050139 9160503 12482238 12769186 16100278 18321006 19153779 22884103 24150417 38307558 45768206 48300834 68652309 70230523 88551529 137304618 140461046 177103058 185153197 210691569 265654587 370306394 421383138 531309174 555459591 1110919182 2036685167 4073370334 6110055501 12220111002