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12023030133120 = 273528792175059
BaseRepresentation
bin1010111011110101010001…
…1100001011000110000000
31120120101112122100002020210
42232331110130023012000
53033441131203224440
641323145341434120
72350430615633526
oct256752434130600
946511478302223
1012023030133120
113915a36085776
12142218856b940
136929c7a9c4a6
142d7cbc4b2316
1515cb2ebd3a80
hexaef5470b180

12023030133120 has 128 divisors (see below), whose sum is σ = 38336737536000. Its totient is φ = 3205026265088.

The previous prime is 12023030133097. The next prime is 12023030133137. The reversal of 12023030133120 is 2133103032021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440151 + ... + 6615209.

It is an arithmetic number, because the mean of its divisors is an integer number (299505762000).

Almost surely, 212023030133120 is an apocalyptic number.

12023030133120 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 12023030133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168368768000).

12023030133120 is an abundant number, since it is smaller than the sum of its proper divisors (26313707402880).

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

12023030133120 is a wasteful number, since it uses less digits than its factorization.

12023030133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177960 (or 2177948 counting only the distinct ones).

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

Adding to 12023030133120 its reverse (2133103032021), we get a palindrome (14156133165141).

The spelling of 12023030133120 in words is "twelve trillion, twenty-three billion, thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2879 5758 8637 11516 14395 17274 23032 28790 34548 43185 46064 57580 69096 86370 92128 115160 138192 172740 184256 230320 276384 345480 368512 460640 552768 690960 921280 1105536 1381920 1842560 2175059 2763840 4350118 5527680 6525177 8700236 10875295 13050354 17400472 21750590 26100708 32625885 34800944 43501180 52201416 65251770 69601888 87002360 104402832 130503540 139203776 174004720 208805664 261007080 278407552 348009440 417611328 522014160 696018880 835222656 1044028320 1392037760 2088056640 4176113280 6261994861 12523989722 18785984583 25047979444 31309974305 37571969166 50095958888 62619948610 75143938332 93929922915 100191917776 125239897220 150287876664 187859845830 200383835552 250479794440 300575753328 375719691660 400767671104 500959588880 601151506656 751439383320 801535342208 1001919177760 1202303013312 1502878766640 2003838355520 2404606026624 3005757533280 4007676711040 6011515066560 12023030133120