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12021122122002 = 23272171471545023
BaseRepresentation
bin1010111011101110001010…
…1101101100000100010010
31120120012121200002002001100
42232323202231230010102
53033423224230401002
641322232142245230
72350332420050100
oct256734255540422
946505550062040
1012021122122002
113915147058784
121421935586816
136927826c2426
142d7b7ad20c70
1515ca6c44211c
hexaeee2b6c112

12021122122002 has 144 divisors (see below), whose sum is σ = 32102244974592. Its totient is φ = 3230367194880.

The previous prime is 12021122122001. The next prime is 12021122122003. The reversal of 12021122122002 is 20022122112021.

It is a happy number.

12021122122002 is a `hidden beast` number, since 12 + 0 + 211 + 221 + 220 + 0 + 2 = 666.

12021122122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021122122001) and next prime (12021122122003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12021122122001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21783663 + ... + 22328685.

It is an arithmetic number, because the mean of its divisors is an integer number (222932256768).

Almost surely, 212021122122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021122122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051122487296).

12021122122002 is an abundant number, since it is smaller than the sum of its proper divisors (20081122852590).

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

12021122122002 is a wasteful number, since it uses less digits than its factorization.

12021122122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546533 (or 546523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12021122122002 its reverse (20022122112021), we get a palindrome (32043244234023).

The spelling of 12021122122002 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1471 1666 2142 2499 2942 4413 4998 7497 8826 10297 13239 14994 20594 25007 26478 30891 50014 61782 72079 75021 92673 144158 150042 175049 185346 216237 225063 350098 432474 450126 525147 545023 648711 1050294 1090046 1225343 1297422 1575441 1635069 2450686 3150882 3270138 3676029 3815161 4905207 7352058 7630322 9265391 9810414 11028087 11445483 18530782 22056174 22890966 26706127 27796173 34336449 53412254 55592346 64857737 68672898 80118381 83388519 129715474 160236762 166777038 194573211 240355143 389146422 454004159 480710286 583719633 801728833 908008318 1167439266 1362012477 1603457666 2405186499 2724024954 4086037431 4810372998 5612101831 7215559497 8172074862 11224203662 13629390161 14431118994 16836305493 27258780322 33672610986 39284712817 40888170483 50508916479 78569425634 81776340966 95405731127 101017832958 117854138451 122664511449 190811462254 235708276902 245329022898 286217193381 353562415353 572434386762 667840117889 707124830706 858651580143 1335680235778 1717303160286 2003520353667 4007040707334 6010561061001 12021122122002