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1221120022220 = 225726126477717
BaseRepresentation
bin10001110001010000011…
…011001101011011001100
311022201220221202101212122
4101301100123031123030
5130001323211202340
62332550315552112
7154136330633600
oct21612033153314
94281827671778
101221120022220
1143096846640a
121787b275b638
138b1c7033887
1443161481500
1521b6de44db5
hex11c506cd6cc

1221120022220 has 144 divisors (see below), whose sum is σ = 3033462220992. Its totient is φ = 411597365760.

The previous prime is 1221120022139. The next prime is 1221120022261. The reversal of 1221120022220 is 222200211221.

It is a happy number.

It is a super-2 number, since 2×12211200222202 (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158233802 + ... + 158241518.

It is an arithmetic number, because the mean of its divisors is an integer number (21065709868).

Almost surely, 21221120022220 is an apocalyptic number.

1221120022220 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 1221120022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516731110496).

1221120022220 is an abundant number, since it is smaller than the sum of its proper divisors (1812342198772).

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

1221120022220 is a wasteful number, since it uses less digits than its factorization.

1221120022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1221120022220 its reverse (222200211221), we get a palindrome (1443320233441).

The spelling of 1221120022220 in words is "one trillion, two hundred twenty-one billion, one hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2647 2989 4270 5294 5978 7717 8540 10588 11956 13235 14945 15434 18529 26470 29890 30868 37058 38585 52940 54019 59780 74116 77170 92645 108038 129703 154340 161467 185290 216076 259406 270095 322934 370580 378133 470737 518812 540190 645868 648515 756266 807335 941474 1080380 1130269 1297030 1512532 1614670 1882948 1890665 2260538 2353685 2594060 3229340 3295159 3781330 4521076 4707370 5651345 6590318 7562660 7911883 9414740 11302690 13180636 15823766 16475795 20426899 22605380 23066113 31647532 32951590 39559415 40853798 46132226 65903180 79118830 81707596 92264452 102134495 115330565 142988293 158237660 204268990 230661130 285976586 408537980 461322260 571953172 714941465 1000918051 1246040839 1429882930 2001836102 2492081678 2859765860 4003672204 4984163356 5004590255 6230204195 8722285873 10009180510 12460408390 17444571746 20018361020 24920816780 34889143492 43611429365 61056001111 87222858730 122112002222 174445717460 244224004444 305280005555 610560011110 1221120022220