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12000122101220 = 2251127336764977
BaseRepresentation
bin1010111010011111111100…
…0000111101110111100100
31120111012102010211111011212
42232213333000331313210
53033102222224214340
641304440251050552
72345660132604521
oct256477700756744
946435363744155
1012000122101220
1139072500a1300
121419854740a58
136907b6aa1026
142d6b47cc4148
1515c23d9dda65
hexae9ff03dde4

12000122101220 has 72 divisors (see below), whose sum is σ = 27737248657272. Its totient is φ = 4357726940160.

The previous prime is 12000122101183. The next prime is 12000122101223. The reversal of 12000122101220 is 2210122100021.

It can be written as a sum of positive squares in 4 ways, for example, as 4858603442176 + 7141518659044 = 2204224^2 + 2672362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12000122101195 and 12000122101204.

It is not an unprimeable number, because it can be changed into a prime (12000122101223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608629 + ... + 5156348.

Almost surely, 212000122101220 is an apocalyptic number.

12000122101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000122101220 is an abundant number, since it is smaller than the sum of its proper divisors (15737126556052).

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

12000122101220 is a wasteful number, since it uses less digits than its factorization.

12000122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765741 (or 6765728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000122101220 its reverse (2210122100021), we get a palindrome (14210244201241).

The spelling of 12000122101220 in words is "twelve trillion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 733 1210 1466 2420 2932 3665 7330 8063 14660 16126 32252 40315 80630 88693 161260 177386 354772 443465 886930 1773860 6764977 13529954 27059908 33824885 67649770 74414747 135299540 148829494 297658988 372073735 744147470 818562217 1488294940 1637124434 3274248868 4092811085 4958728141 8185622170 9917456282 16371244340 19834912564 24793640705 49587281410 54546009551 99174562820 109092019102 218184038204 272730047755 545460095510 600006105061 1090920191020 1200012210122 2400024420244 3000030525305 6000061050610 12000122101220