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12330220122 = 23211174438269
BaseRepresentation
bin10110111101111000…
…00011101001011010
31011211022111002012100
423132330003221122
5200223014020442
65355303224230
7614361066423
oct133674035132
934738432170
1012330220122
1152580a6970
122481448076
1312166b384c
1484d81a64a
154c274d84c
hex2def03a5a

12330220122 has 96 divisors (see below), whose sum is σ = 30931917120. Its totient is φ = 3508277760.

The previous prime is 12330220117. The next prime is 12330220129. The reversal of 12330220122 is 22102203321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12330220095 and 12330220104.

It is not an unprimeable number, because it can be changed into a prime (12330220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487004 + ... + 1495272.

It is an arithmetic number, because the mean of its divisors is an integer number (322207470).

Almost surely, 212330220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15465958560).

12330220122 is an abundant number, since it is smaller than the sum of its proper divisors (18601696998).

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

12330220122 is a wasteful number, since it uses less digits than its factorization.

12330220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12330220122 its reverse (22102203321), we get a palindrome (34432423443).

The spelling of 12330220122 in words is "twelve billion, three hundred thirty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 443 561 886 1122 1329 1683 2658 3366 3987 4873 7531 7974 8269 9746 14619 15062 16538 22593 24807 29238 43857 45186 49614 67779 74421 82841 87714 90959 135558 140573 148842 165682 181918 248523 272877 281146 421719 497046 545754 745569 818631 843438 1265157 1491138 1546303 1637262 2530314 3092606 3663167 4638909 7326334 9277818 10989501 13916727 21979002 27833454 32968503 40294837 62273839 65937006 80589674 120884511 124547678 186821517 241769022 362653533 373643034 560464551 685012229 725307066 1120929102 1370024458 2055036687 4110073374 6165110061 12330220122