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12201221231120 = 2451915235270597
BaseRepresentation
bin1011000110001101000101…
…1101010001001000010000
31121012102111002022202110002
42301203101131101020100
53044401100113343440
641541055203225132
72366336431162055
oct261432135211020
947172432282402
1012201221231120
113984566333019
1214508183781a8
136a6754a27b0c
14302783d5902c
151625ad6c6115
hexb18d1751210

12201221231120 has 80 divisors (see below), whose sum is σ = 29880495829440. Its totient is φ = 4620583936512.

The previous prime is 12201221231051. The next prime is 12201221231203. The reversal of 12201221231120 is 2113212210221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12201221231092 and 12201221231101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320339 + ... + 4950258.

It is an arithmetic number, because the mean of its divisors is an integer number (373506197868).

Almost surely, 212201221231120 is an apocalyptic number.

12201221231120 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 12201221231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940247914720).

12201221231120 is an abundant number, since it is smaller than the sum of its proper divisors (17679274598320).

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

12201221231120 is a wasteful number, since it uses less digits than its factorization.

12201221231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272152 (or 5272146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12201221231120 its reverse (2113212210221), we get a palindrome (14314433441341).

The spelling of 12201221231120 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1523 3046 6092 7615 12184 15230 24368 28937 30460 57874 60920 115748 121840 144685 231496 289370 462992 578740 1157480 2314960 5270597 10541194 21082388 26352985 42164776 52705970 84329552 100141343 105411940 200282686 210823880 400565372 421647760 500706715 801130744 1001413430 1602261488 2002826860 4005653720 8011307440 8027119231 16054238462 32108476924 40135596155 64216953848 80271192310 128433907696 152515265389 160542384620 305030530778 321084769240 610061061556 642169538480 762576326945 1220122123112 1525152653890 2440244246224 3050305307780 6100610615560 12201221231120