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12032123213220 = 223511212539132173
BaseRepresentation
bin1010111100010111001001…
…1011100001010110100100
31120121021000100120102011020
42233011302123201112210
53034113242020310340
641331251530011140
72351202141556245
oct257056233412644
946537010512136
1012032123213220
113919881971400
121423aa5876ab0
1369381690c666
142d8501dd6ccc
1515ceb31499d0
hexaf1726e15a4

12032123213220 has 144 divisors (see below), whose sum is σ = 37034330034240. Its totient is φ = 2916623663360.

The previous prime is 12032123213207. The next prime is 12032123213353. The reversal of 12032123213220 is 2231232123021.

12032123213220 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 47 ways as a sum of consecutive naturals, for example, 90967054 + ... + 91099226.

It is an arithmetic number, because the mean of its divisors is an integer number (257182847460).

Almost surely, 212032123213220 is an apocalyptic number.

12032123213220 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 12032123213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517165017120).

12032123213220 is an abundant number, since it is smaller than the sum of its proper divisors (25002206821020).

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

12032123213220 is a wasteful number, since it uses less digits than its factorization.

12032123213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144746 (or 144733 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12032123213220 its reverse (2231232123021), we get a palindrome (14263355336241).

The spelling of 12032123213220 in words is "twelve trillion, thirty-two billion, one hundred twenty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 12539 25078 37617 50156 62695 75234 125390 132173 137929 150468 188085 250780 264346 275858 376170 396519 413787 528692 551716 660865 689645 752340 793038 827574 1321730 1379290 1453903 1517219 1586076 1655148 1982595 2068935 2643460 2758580 2907806 3034438 3965190 4137870 4361709 4551657 5815612 6068876 7269515 7586095 7930380 8275740 8723418 9103314 14539030 15172190 15992933 17446836 18206628 21808545 22758285 29078060 30344380 31985866 43617090 45516570 47978799 63971732 79964665 87234180 91033140 95957598 159929330 191915196 239893995 319858660 479787990 959575980 1657317247 3314634494 4971951741 6629268988 8286586235 9943903482 16573172470 18230489717 19887806964 24859758705 33146344940 36460979434 49719517410 54691469151 72921958868 91152448585 99439034820 109382938302 182304897170 200535386887 218765876604 273457345755 364609794340 401070773774 546914691510 601606160661 802141547548 1002676934435 1093829383020 1203212321322 2005353868870 2406424642644 3008030803305 4010707737740 6016061606610 12032123213220