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12220112021000 = 2353132376739551
BaseRepresentation
bin1011000111010011011101…
…1011111010011000001000
31121021020020121200022110112
42301310313123322120020
53100203242134133000
641553501510333452
72400605524223162
oct261646733723010
947236217608415
1012220112021000
11399157a727064
12145440a95a288
136a84756788b0
14303656bc5932
15162d16d8c235
hexb1d376fa608

12220112021000 has 128 divisors (see below), whose sum is σ = 30796756623360. Its totient is φ = 4511737440000.

The previous prime is 12220112020997. The next prime is 12220112021023. The reversal of 12220112021000 is 12021102221.

It is a super-2 number, since 2×122201120210002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308951225 + ... + 308990775.

It is an arithmetic number, because the mean of its divisors is an integer number (240599661120).

Almost surely, 212220112021000 is an apocalyptic number.

12220112021000 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 12220112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398378311680).

12220112021000 is an abundant number, since it is smaller than the sum of its proper divisors (18576644602360).

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

12220112021000 is a wasteful number, since it uses less digits than its factorization.

12220112021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63352 (or 63338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220112021000 its reverse (12021102221), we get a palindrome (12232133123221).

The spelling of 12220112021000 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 23767 39551 47534 79102 95068 118835 158204 190136 197755 237670 308971 316408 395510 475340 514163 594175 617942 791020 950680 988775 1028326 1188350 1235884 1544855 1582040 1977550 2056652 2376700 2471768 2570815 2970875 3089710 3955100 4113304 4753400 4943875 5141630 5941750 6179420 7724275 7910200 9887750 10283260 11883500 12358840 12854075 15448550 19775500 20566520 23767000 25708150 30897100 38621375 39551000 51416300 61794200 64270375 77242750 102832600 128540750 154485500 257081500 308971000 514163000 940008617 1880017234 3760034468 4700043085 7520068936 9400086170 12220112021 18800172340 23500215425 24440224042 37600344680 47000430850 48880448084 61100560105 94000861700 97760896168 117501077125 122201120210 188001723400 235002154250 244402240420 305502800525 470004308500 488804480840 611005601050 940008617000 1222011202100 1527514002625 2444022404200 3055028005250 6110056010500 12220112021000