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1221000010020 = 2232571567161837
BaseRepresentation
bin10001110001001001010…
…001011001100100100100
311022201121120221011002100
4101301021101121210210
5130001102000310040
62332530351412100
7154133342562030
oct21611121314444
94281546834070
101221000010020
1143090674647a
1217877a524030
138b1a820423b
144314d5611c0
1521b6363ab30
hex11c49459924

1221000010020 has 144 divisors (see below), whose sum is σ = 4233138594048. Its totient is φ = 279063394560.

The previous prime is 1221000010019. The next prime is 1221000010031. The reversal of 1221000010020 is 200100001221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1221000009984 and 1221000010011.

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, 19714542 + ... + 19776378.

It is an arithmetic number, because the mean of its divisors is an integer number (29396795792).

Almost surely, 21221000010020 is an apocalyptic number.

1221000010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221000010020 is an abundant number, since it is smaller than the sum of its proper divisors (3012138584028).

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

1221000010020 is a wasteful number, since it uses less digits than its factorization.

1221000010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77530 (or 77525 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1221000010020 its reverse (200100001221), we get a palindrome (1421100011241).

The spelling of 1221000010020 in words is "one trillion, two hundred twenty-one billion, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 15671 31342 47013 61837 62684 78355 94026 109697 123674 141039 156710 185511 188052 219394 235065 247348 282078 309185 313420 329091 371022 432859 438788 470130 548485 556533 564156 618370 658182 705195 742044 865718 927555 940260 987273 1096970 1113066 1236740 1298577 1316364 1410390 1645455 1731436 1855110 1974546 2164295 2193940 2226132 2597154 2782665 2820780 3290910 3710220 3895731 3949092 4328590 4936365 5194308 5565330 6492885 6581820 7791462 8657180 9872730 11130660 12985770 15582924 19478655 19745460 25971540 38957310 77914620 969047627 1938095254 2907142881 3876190508 4845238135 5814285762 6783333389 8721428643 9690476270 11628571524 13566666778 14535714405 17442857286 19380952540 20350000167 27133333556 29071428810 33916666945 34885714572 40700000334 43607143215 58142857620 61050000501 67833333890 81400000668 87214286430 101750000835 122100001002 135666667780 174428572860 203500001670 244200002004 305250002505 407000003340 610500005010 1221000010020