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12230112300 = 2235276179439
BaseRepresentation
bin10110110001111100…
…01011010000101100
31011120100010002002020
423120332023100230
5200021402043200
65341325430140
7612034145040
oct133076132054
934510102066
1012230112300
11520664142a
122453a0b350
1311cba32c53
148403dc020
154b8a76ea0
hex2d8f8b42c

12230112300 has 144 divisors (see below), whose sum is σ = 40510740480. Its totient is φ = 2790627840.

The previous prime is 12230112269. The next prime is 12230112347. The reversal of 12230112300 is 321103221.

12230112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122301123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12230112300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290981 + ... + 1300419.

Almost surely, 212230112300 is an apocalyptic number.

12230112300 is a gapful number since it is divisible by the number (10) 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 12230112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255370240).

12230112300 is an abundant number, since it is smaller than the sum of its proper divisors (28280628180).

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

12230112300 is a wasteful number, since it uses less digits than its factorization.

12230112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12230112300 its reverse (321103221), we get a palindrome (12551215521).

The spelling of 12230112300 in words is "twelve billion, two hundred thirty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 617 700 1050 1234 1851 2100 2468 3085 3702 4319 6170 7404 8638 9255 9439 12340 12957 15425 17276 18510 18878 21595 25914 28317 30850 37020 37756 43190 46275 47195 51828 56634 61700 64785 66073 86380 92550 94390 107975 113268 129570 132146 141585 185100 188780 198219 215950 235975 259140 264292 283170 323925 330365 396438 431900 471950 566340 647850 660730 707925 792876 943900 991095 1295700 1321460 1415850 1651825 1982190 2831700 3303650 3964380 4955475 5823863 6607300 9910950 11647726 17471589 19821900 23295452 29119315 34943178 40767041 58238630 69886356 81534082 87357945 116477260 122301123 145596575 163068164 174715890 203835205 244602246 291193150 349431780 407670410 436789725 489204492 582386300 611505615 815340820 873579450 1019176025 1223011230 1747158900 2038352050 2446022460 3057528075 4076704100 6115056150 12230112300