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1222101110020 = 225724578093373
BaseRepresentation
bin10001110010001010111…
…001110000110100000100
311022211110022211211022211
4101302022321300310010
5130010330341010040
62333231524033204
7154202543016100
oct21621271606404
94284408754284
101222101110020
1143132124217a
12178a27232804
138b32237b7bb
14432158a8900
1521bca13c8ea
hex11c8ae70d04

1222101110020 has 144 divisors (see below), whose sum is σ = 2996537528880. Its totient is φ = 417448636416.

The previous prime is 1222101109993. The next prime is 1222101110039. The reversal of 1222101110020 is 200111012221.

It can be written as a sum of positive squares in 8 ways, for example, as 495818772736 + 726282337284 = 704144^2 + 852222^2 .

It is a super-2 number, since 2×12221011100202 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 362317054 + ... + 362320426.

It is an arithmetic number, because the mean of its divisors is an integer number (20809288395).

Almost surely, 21222101110020 is an apocalyptic number.

1222101110020 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 1222101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498268764440).

1222101110020 is an abundant number, since it is smaller than the sum of its proper divisors (1774436418860).

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

1222101110020 is a wasteful number, since it uses less digits than its factorization.

1222101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222101110020 its reverse (200111012221), we get a palindrome (1422212122241).

The spelling of 1222101110020 in words is "one trillion, two hundred twenty-two billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 457 490 809 914 980 1618 1828 2285 3199 3236 3373 4045 4570 5663 6398 6746 8090 9140 11326 12796 13492 15995 16180 16865 22393 22652 23611 28315 31990 33730 39641 44786 47222 56630 63980 67460 79282 89572 94444 111965 113260 118055 158564 165277 198205 223930 236110 330554 369713 396410 447860 472220 661108 739426 792820 826385 1478852 1541461 1652770 1848565 2587991 2728757 3082922 3305540 3697130 5175982 5457514 6165844 7394260 7707305 10351964 10790227 10915028 12939955 13643785 15414610 18115937 19101299 21580454 25879910 27287570 30829220 36231874 38202598 43160908 51759820 53951135 54575140 72463748 75531589 76405196 90579685 95506495 107902270 133709093 151063178 181159370 191012990 215804540 267418186 302126356 362318740 377657945 382025980 534836372 668545465 755315890 1247041949 1337090930 1510631780 2494083898 2674181860 4988167796 6235209745 8729293643 12470419490 17458587286 24940838980 34917174572 43646468215 61105055501 87292936430 122210111002 174585872860 244420222004 305525277505 611050555010 1222101110020