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12233130103200 = 2535219268270397
BaseRepresentation
bin1011001000000011111101…
…0111111101000110100000
31121022110211212111102001010
42302000333113331012200
53100411422301300300
642003453345140520
72401546240131456
oct262007727750640
947273755442033
1012233130103200
113997050031986
121456a4262a740
136a976b70bb06
1430412dada9d6
15163329bb1a50
hexb203f5fd1a0

12233130103200 has 144 divisors (see below), whose sum is σ = 41914566983520. Its totient is φ = 3090474961920.

The previous prime is 12233130103163. The next prime is 12233130103241. The reversal of 12233130103200 is 230103133221.

12233130103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134089599 + ... + 134180798.

It is an arithmetic number, because the mean of its divisors is an integer number (291073381830).

Almost surely, 212233130103200 is an apocalyptic number.

12233130103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233130103200 is an abundant number, since it is smaller than the sum of its proper divisors (29681436880320).

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

12233130103200 is a wasteful number, since it uses less digits than its factorization.

12233130103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268270439 (or 268270426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12233130103200 its reverse (230103133221), we get a palindrome (12463233236421).

The spelling of 12233130103200 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 268270397 536540794 804811191 1073081588 1341351985 1609622382 2146163176 2682703970 3219244764 4024055955 4292326352 5097137543 5365407940 6438489528 6706759925 8048111910 8584652704 10194275086 10730815880 12876979056 13413519850 15291412629 16096223820 20120279775 20388550172 21461631760 25485687715 25753958112 26827039700 30582825258 32192447640 40240559550 40777100344 42923263520 50971375430 53654079400 61165650516 64384895280 76457063145 80481119100 81554200688 101942750860 107308158800 122331301032 127428438575 128769790560 152914126290 160962238200 163108401376 203885501720 214616317600 244662602064 254856877150 305828252580 321924476400 382285315725 407771003440 489325204128 509713754300 611656505160 643848952800 764570631450 815542006880 1019427508600 1223313010320 1529141262900 2038855017200 2446626020640 3058282525800 4077710034400 6116565051600 12233130103200