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12202130052 = 22327174017103
BaseRepresentation
bin10110101110100110…
…11011101010000100
31011111101110102122200
423113103123222010
5144442221130202
65334445554500
7611244252120
oct132723335204
934441412580
1012202130052
1151a1869a02
122446575a30
1311c5cb64c8
1483a7d6580
154b639ae1c
hex2d74dba84

12202130052 has 144 divisors (see below), whose sum is σ = 37422508032. Its totient is φ = 3272601600.

The previous prime is 12202130051. The next prime is 12202130071. The reversal of 12202130052 is 25003120221.

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

It is not an unprimeable number, because it can be changed into a prime (12202130051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714333 + ... + 1721435.

It is an arithmetic number, because the mean of its divisors is an integer number (259878528).

Almost surely, 212202130052 is an apocalyptic number.

12202130052 is a gapful number since it is divisible by the number (12) 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 12202130052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711254016).

12202130052 is an abundant number, since it is smaller than the sum of its proper divisors (25220377980).

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

12202130052 is a wasteful number, since it uses less digits than its factorization.

12202130052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12202130052 its reverse (25003120221), we get a palindrome (37205250273).

The spelling of 12202130052 in words is "twelve billion, two hundred two million, one hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 401 476 612 714 802 1071 1203 1428 1604 2142 2406 2807 3609 4284 4812 5614 6817 7103 7218 8421 11228 13634 14206 14436 16842 20451 21309 25263 27268 28412 33684 40902 42618 47719 49721 50526 61353 63927 81804 85236 95438 99442 101052 120751 122706 127854 143157 149163 190876 198884 241502 245412 255708 286314 298326 362253 429471 447489 483004 572628 596652 724506 845257 858942 894978 1086759 1449012 1690514 1717884 1789956 2173518 2535771 2848303 3381028 4347036 5071542 5696606 7607313 8544909 10143084 11393212 15214626 17089818 19938121 25634727 30429252 34179636 39876242 48421151 51269454 59814363 79752484 96842302 102538908 119628726 145263453 179443089 193684604 239257452 290526906 338948057 358886178 435790359 581053812 677896114 717772356 871580718 1016844171 1355792228 1743161436 2033688342 3050532513 4067376684 6101065026 12202130052