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12023133233320 = 23511532789184859
BaseRepresentation
bin1010111011110101101010…
…0101011110000010101000
31120120101210211100010010201
42232331122211132002220
53033441334101431240
641323203503321544
72350433310160306
oct256753245360250
946511724303121
1012023133233320
113915a892a4450
1214221b6bb02b4
13692a1325a121
142d7ccc06d276
1515cb38c9bd9a
hexaef5a95e0a8

12023133233320 has 128 divisors (see below), whose sum is σ = 30079088208000. Its totient is φ = 4287995745280.

The previous prime is 12023133233257. The next prime is 12023133233357. The reversal of 12023133233320 is 2333233132021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64947051 + ... + 65131909.

It is an arithmetic number, because the mean of its divisors is an integer number (234992876625).

Almost surely, 212023133233320 is an apocalyptic number.

12023133233320 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 12023133233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039544104000).

12023133233320 is an abundant number, since it is smaller than the sum of its proper divisors (18055954974680).

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

12023133233320 is a wasteful number, since it uses less digits than its factorization.

12023133233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187723 (or 187719 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 12023133233320 its reverse (2333233132021), we get a palindrome (14356366365341).

The spelling of 12023133233320 in words is "twelve trillion, twenty-three billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2789 2915 4664 5578 5830 11156 11660 13945 22312 23320 27890 30679 55780 61358 111560 122716 147817 153395 184859 245432 295634 306790 369718 591268 613580 739085 739436 924295 1182536 1227160 1478170 1478872 1625987 1848590 2033449 2956340 3251974 3697180 4066898 5912680 6503948 7394360 8129935 8133796 9797527 10167245 13007896 16259870 16267592 19595054 20334490 32519740 39190108 40668980 48987635 65039480 78380216 81337960 97975270 107772797 195950540 215545594 391901080 431091188 515571751 538863985 862182376 1031143502 1077727970 2062287004 2155455940 2577858755 4124574008 4310911880 5155717510 5671289261 10311435020 11342578522 20622870040 22685157044 27325302803 28356446305 45370314088 54650605606 56712892610 109301211212 113425785220 136626514015 218602422424 226851570440 273253028030 300578330833 546506056060 601156661666 1093012112120 1202313323332 1502891654165 2404626646664 3005783308330 6011566616660 12023133233320