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1220002333312 = 27717252131771
BaseRepresentation
bin10001110000001101110…
…011100100001010000000
311022122001001121220221011
4101300031303210022000
5124442031044131222
62332243352010304
7154066536505420
oct21601563441200
94278031556834
101220002333312
1143044456a174
12178540390994
138b0795cb6a9
1443096c5a480
1521b05c67c77
hex11c0dce4280

1220002333312 has 128 divisors (see below), whose sum is σ = 2942336292480. Its totient is φ = 491891097600.

The previous prime is 1220002333289. The next prime is 1220002333331. The reversal of 1220002333312 is 2133332000221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38383987 + ... + 38415757.

It is an arithmetic number, because the mean of its divisors is an integer number (22987002285).

Almost surely, 21220002333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220002333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471168146240).

1220002333312 is an abundant number, since it is smaller than the sum of its proper divisors (1722333959168).

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

1220002333312 is a wasteful number, since it uses less digits than its factorization.

1220002333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34330 (or 34318 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1220002333312 its reverse (2133332000221), we get a palindrome (3353334333533).

The spelling of 1220002333312 in words is "one trillion, two hundred twenty billion, two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 2521 3808 5042 7616 10084 15232 17647 20168 31771 35294 40336 42857 63542 70588 80672 85714 127084 141176 161344 171428 222397 254168 282352 299999 322688 342856 444794 508336 540107 564704 599998 685712 889588 1016672 1080214 1129408 1199996 1371424 1779176 2033344 2160428 2258816 2399992 2742848 3558352 3780749 4066688 4320856 4799984 5485696 7116704 7561498 8641712 9599968 14233408 15122996 17283424 19199936 28466816 30245992 34566848 38399872 60491984 69133696 80094691 120983968 160189382 241967936 320378764 483935872 560662837 640757528 1121325674 1281515056 1361609747 2242651348 2563030112 2723219494 4485302696 5126060224 5446438988 8970605392 9531268229 10252120448 10892877976 17941210784 19062536458 21785755952 35882421568 38125072916 43571511904 71764843136 76250145832 87143023808 152500291664 174286047616 305000583328 610001166656 1220002333312