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12300220211022 = 2322922812891599
BaseRepresentation
bin1011001011111101111001…
…0000011001111101001110
31121112220000111101000021100
42302333132100121331032
53103011322333223042
642054350531043530
72406442631500452
oct262773620317516
947486014330240
1012300220211022
113a12548708987
121467a46a405a6
136b2ba1030c73
14307496084662
15164e54acc24c
hexb2fde419f4e

12300220211022 has 72 divisors (see below), whose sum is σ = 27699382432800. Its totient is φ = 3944602327680.

The previous prime is 12300220211011. The next prime is 12300220211029. The reversal of 12300220211022 is 22011202200321.

12300220211022 is a `hidden beast` number, since 1 + 230 + 0 + 220 + 211 + 0 + 2 + 2 = 666.

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 = 12300220210986 and 12300220211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300220211029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2807979 + ... + 5699577.

It is an arithmetic number, because the mean of its divisors is an integer number (384713644900).

Almost surely, 212300220211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300220211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849691216400).

12300220211022 is an abundant number, since it is smaller than the sum of its proper divisors (15399162221778).

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

12300220211022 is a wasteful number, since it uses less digits than its factorization.

12300220211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891946 (or 2891914 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12300220211022 its reverse (22011202200321), we get a palindrome (34311422411343).

The spelling of 12300220211022 in words is "twelve trillion, three hundred billion, two hundred twenty million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 281 522 562 841 843 1682 1686 2523 2529 5046 5058 7569 8149 15138 16298 24447 48894 73341 146682 236321 472642 708963 1417926 2126889 2891599 4253778 5783198 8674797 17349594 26024391 52048782 83856371 167712742 251569113 503138226 754707339 812539319 1509414678 1625078638 2431834759 2437617957 4863669518 4875235914 7295504277 7312853871 14591008554 14625707742 21886512831 23563640251 43773025662 47127280502 70690920753 141381841506 212072762259 424145524518 683345567279 1366691134558 2050036701837 4100073403674 6150110105511 12300220211022