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12001221110120 = 2351194729099901
BaseRepresentation
bin1010111010100100000010…
…0001010110100101101000
31120111022020201210220222012
42232221000201112211220
53033112000101010440
641305141310415052
72346026306202224
oct256510041264550
946438221726865
1012001221110120
113907764499a20
121419b00801488
13690930695858
142d6c0dc45784
1515c2a522ae65
hexaea40856968

12001221110120 has 128 divisors (see below), whose sum is σ = 29501765308800. Its totient is φ = 4357533312000.

The previous prime is 12001221110119. The next prime is 12001221110143. The reversal of 12001221110120 is 2101112210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001221110095 and 12001221110104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212117170 + ... + 1212127070.

It is an arithmetic number, because the mean of its divisors is an integer number (230482541475).

Almost surely, 212001221110120 is an apocalyptic number.

12001221110120 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 12001221110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750882654400).

12001221110120 is an abundant number, since it is smaller than the sum of its proper divisors (17500544198680).

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

12001221110120 is a wasteful number, since it uses less digits than its factorization.

12001221110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001221110120 its reverse (2101112210021), we get a palindrome (14102333320141).

The spelling of 12001221110120 in words is "twelve trillion, one billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 947 1894 2909 3788 4735 5818 7576 9470 9901 10417 11636 14545 18940 19802 20834 23272 29090 31999 37880 39604 41668 49505 52085 58180 63998 79208 83336 99010 104170 108911 116360 127996 159995 198020 208340 217822 255992 319990 396040 416680 435644 544555 639980 871288 1089110 1279960 2178220 2754823 4356440 5509646 9376247 11019292 13774115 18752494 22038584 27548230 28802009 30303053 37504988 46881235 55096460 57604018 60606106 75009976 93762470 103138717 110192920 115208036 121212212 144010045 151515265 187524940 206277434 230416072 242424424 288020090 303030530 316822099 375049880 412554868 515693585 576040180 606061060 633644198 825109736 1031387170 1152080360 1212122120 1267288396 1584110495 2062774340 2534576792 3168220990 4125548680 6336441980 12672883960 27275502523 54551005046 109102010092 136377512615 218204020184 272755025230 300030527753 545510050460 600061055506 1091020100920 1200122111012 1500152638765 2400244222024 3000305277530 6000610555060 12001221110120