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12200211023130 = 23251321037787551
BaseRepresentation
bin1011000110001001010100…
…1111101000010100011010
31121012022212200102212121100
42301202111033220110122
53044342013010220010
641540411035052230
72366302413434214
oct261422517502432
947168780385540
1012200211023130
113984098077889
121450595ba1076
136a6623655500
143026c9b115b4
1516254eb7a2c0
hexb18953e851a

12200211023130 has 144 divisors (see below), whose sum is σ = 34681769381376. Its totient is φ = 2973971894400.

The previous prime is 12200211023123. The next prime is 12200211023131. The reversal of 12200211023130 is 3132011200221.

12200211023130 is a `hidden beast` number, since 1 + 220 + 0 + 211 + 0 + 231 + 3 + 0 = 666.

It is a super-2 number, since 2×122002110231302 (a number of 27 digits) contains 22 as substring.

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 (12200211023131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2327146 + ... + 5460405.

It is an arithmetic number, because the mean of its divisors is an integer number (240845620704).

Almost surely, 212200211023130 is an apocalyptic number.

12200211023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200211023130 is an abundant number, since it is smaller than the sum of its proper divisors (22481558358246).

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

12200211023130 is a wasteful number, since it uses less digits than its factorization.

12200211023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787693 (or 7787677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12200211023130 its reverse (3132011200221), we get a palindrome (15332222223351).

The spelling of 12200211023130 in words is "twelve trillion, two hundred billion, two hundred eleven million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 103 117 130 169 195 206 234 309 338 390 507 515 585 618 845 927 1014 1030 1170 1339 1521 1545 1690 1854 2535 2678 3042 3090 4017 4635 5070 6695 7605 8034 9270 12051 13390 15210 17407 20085 24102 34814 40170 52221 60255 87035 104442 120510 156663 174070 261105 313326 522210 783315 1566630 7787551 15575102 23362653 38937755 46725306 70087959 77875510 101238163 116813265 140175918 202476326 233626530 303714489 350439795 506190815 607428978 700879590 802117753 911143467 1012381630 1316096119 1518572445 1604235506 1822286934 2406353259 2632192238 3037144890 3948288357 4010588765 4555717335 4812706518 6580480595 7219059777 7896576714 8021177530 9111434670 10427530789 11844865071 12031766295 13160961190 14438119554 19741441785 20855061578 23689730142 24063532590 31282592367 36095298885 39482883570 52137653945 59224325355 62565184734 72190597770 93847777101 104275307890 118448650710 135557900257 156412961835 187695554202 271115800514 312825923670 406673700771 469238885505 677789501285 813347401542 938477771010 1220021102313 1355579002570 2033368503855 2440042204626 4066737007710 6100105511565 12200211023130