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12033032311020 = 22357217240756949
BaseRepresentation
bin1010111100011010100010…
…0111011101000011101100
31120121100100201012100220010
42233012220213131003230
53034122122232423040
641331522043053220
72351233521016200
oct257065047350354
946540321170803
1012033032311020
11391a1a9047aa6
1214240ba211210
13693930070056
142d858aa40b00
1515d017d71e80
hexaf1a89dd0ec

12033032311020 has 144 divisors (see below), whose sum is σ = 41498793957600. Its totient is φ = 2588618704896.

The previous prime is 12033032310983. The next prime is 12033032311039. The reversal of 12033032311020 is 2011323033021.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 120328495 + ... + 120428454.

It is an arithmetic number, because the mean of its divisors is an integer number (288186069150).

Almost surely, 212033032311020 is an apocalyptic number.

12033032311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033032311020 is an abundant number, since it is smaller than the sum of its proper divisors (29465761646580).

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

12033032311020 is a wasteful number, since it uses less digits than its factorization.

12033032311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240756992 (or 240756983 counting only the distinct ones).

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

Adding to 12033032311020 its reverse (2011323033021), we get a palindrome (14044355344041).

The spelling of 12033032311020 in words is "twelve trillion, thirty-three billion, thirty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 240756949 481513898 722270847 963027796 1203784745 1444541694 1685298643 2407569490 2889083388 3370597286 3611354235 4092868133 4815138980 5055895929 6741194572 7222708470 8185736266 8426493215 10111791858 11797090501 12278604399 14445416940 16371472532 16852986430 20223583716 20464340665 23594181002 24557208798 25279479645 28650076931 33705972860 35391271503 40928681330 47188362004 49114417596 50558959290 57300153862 58985452505 61393021995 70782543006 81857362660 85950230793 101117918580 114600307724 117970905010 122786043990 141565086012 143250384655 171900461586 176956357515 200550538517 235941810020 245572087980 286500769310 343800923172 353912715030 401101077034 429751153965 573001538620 601651615551 707825430060 802202154068 859502307930 1002752692585 1203303231102 1719004615860 2005505385170 2406606462204 3008258077755 4011010770340 6016516155510 12033032311020