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12230103200 = 255274153267
BaseRepresentation
bin10110110001111100…
…01001000010100000
31011120100002121121012
423120332021002200
5200021401300300
65341325320052
7612034106360
oct133076110240
934510077535
1012230103200
115206635607
122453a06028
1311cba2ba73
148403d89a0
154b8a74435
hex2d8f890a0

12230103200 has 144 divisors (see below), whose sum is σ = 34954887744. Its totient is φ = 4090828800.

The previous prime is 12230103199. The next prime is 12230103209. The reversal of 12230103200 is 230103221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12230103209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202967 + ... + 256233.

It is an arithmetic number, because the mean of its divisors is an integer number (242742276).

Almost surely, 212230103200 is an apocalyptic number.

12230103200 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 12230103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477443872).

12230103200 is an abundant number, since it is smaller than the sum of its proper divisors (22724784544).

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

12230103200 is a wasteful number, since it uses less digits than its factorization.

12230103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53335 (or 53322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12230103200 its reverse (230103221), we get a palindrome (12460206421).

The spelling of 12230103200 in words is "twelve billion, two hundred thirty million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 70 80 82 100 112 140 160 164 175 200 205 224 280 287 328 350 400 410 560 574 656 700 800 820 1025 1120 1148 1312 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5600 5740 6560 7175 8200 9184 11480 14350 16400 22960 28700 32800 45920 53267 57400 106534 114800 213068 229600 266335 372869 426136 532670 745738 852272 1065340 1331675 1491476 1704544 1864345 2130680 2183947 2663350 2982952 3728690 4261360 4367894 5326700 5965904 7457380 8522720 8735788 9321725 10653400 10919735 11931808 14914760 15287629 17471576 18643450 21306800 21839470 29829520 30575258 34943152 37286900 42613600 43678940 54598675 59659040 61150516 69886304 74573800 76438145 87357880 109197350 122301032 149147600 152876290 174715760 218394700 244602064 298295200 305752580 349431520 382190725 436789400 489204128 611505160 764381450 873578800 1223010320 1528762900 1747157600 2446020640 3057525800 6115051600 12230103200