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12220002101020 = 22572671391338923
BaseRepresentation
bin1011000111010011000011…
…1000100110011100011100
31121021012221221211210121011
42301310300320212130130
53100203031014213040
641553442542345004
72400603021013600
oct261646070463434
947235857753534
1012220002101020
11399152367a5aa
121454399b8b164
136a8458970a9c
14303646371500
15162d0c3c83ea
hexb1d30e2671c

12220002101020 has 144 divisors (see below), whose sum is σ = 30515256213120. Its totient is φ = 4097486929536.

The previous prime is 12220002101011. The next prime is 12220002101057. The reversal of 12220002101020 is 2010120002221.

It is a happy number.

It is a congruent number.

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, 8457279 + ... + 9796201.

It is an arithmetic number, because the mean of its divisors is an integer number (211911501480).

Almost surely, 212220002101020 is an apocalyptic number.

12220002101020 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 12220002101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257628106560).

12220002101020 is an abundant number, since it is smaller than the sum of its proper divisors (18295254112100).

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

12220002101020 is a wasteful number, since it uses less digits than its factorization.

12220002101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339152 (or 1339143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220002101020 its reverse (2010120002221), we get a palindrome (14230122103241).

The spelling of 12220002101020 in words is "twelve trillion, two hundred twenty billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 139 140 196 245 268 278 335 469 490 556 670 695 938 973 980 1340 1390 1876 1946 2345 2780 3283 3892 4690 4865 6566 6811 9313 9380 9730 13132 13622 16415 18626 19460 27244 32830 34055 37252 46565 65191 65660 68110 93130 130382 136220 186260 260764 325955 456337 651910 912674 1303820 1338923 1825348 2281685 2677846 4563370 5355692 6694615 9126740 9372461 13389230 18744922 26778460 37489844 46862305 65607227 89707841 93724610 131214454 179415682 186110297 187449220 262428908 328036135 358831364 372220594 448539205 627954887 656072270 744441188 897078410 930551485 1255909774 1302772079 1312144540 1794156820 1861102970 2511819548 2605544158 3139774435 3722205940 4395684209 5211088316 6279548870 6513860395 8791368418 9119404553 12469389899 12559097740 13027720790 17582736836 18238809106 21978421045 24938779798 26055441580 36477618212 43956842090 45597022765 49877559596 62346949495 87285729293 87913684180 91194045530 124693898990 174571458586 182388091060 249387797980 349142917172 436428646465 611000105051 872857292930 1222000210102 1745714585860 2444000420204 3055000525255 6110001050510 12220002101020