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1020212220012 = 2232361461131447
BaseRepresentation
bin11101101100010010110…
…00110001000001101100
310121112100100021120212020
432312021120301001230
5113203343312020022
62100402400310140
7133464544534116
oct16661130610154
93545310246766
101020212220012
11363740223a57
12145883012350
137528991893b
14375429b23b6
151b810e5235c
hexed8963106c

1020212220012 has 96 divisors (see below), whose sum is σ = 2530212056064. Its totient is φ = 319256044800.

The previous prime is 1020212219947. The next prime is 1020212220023. The reversal of 1020212220012 is 2100222120201.

It is a junction number, because it is equal to n+sod(n) for n = 1020212219973 and 1020212220000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7695673 + ... + 7827119.

It is an arithmetic number, because the mean of its divisors is an integer number (26356375584).

Almost surely, 21020212220012 is an apocalyptic number.

1020212220012 is a gapful number since it is divisible by the number (12) 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 1020212220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265106028032).

1020212220012 is an abundant number, since it is smaller than the sum of its proper divisors (1509999836052).

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

1020212220012 is a wasteful number, since it uses less digits than its factorization.

1020212220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131999 (or 131997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020212220012 its reverse (2100222120201), we get a palindrome (3120434340213).

The spelling of 1020212220012 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 461 732 922 1383 1403 1844 2766 2806 4209 5532 5612 8418 10603 16836 21206 28121 31809 42412 56242 63618 84363 112484 127236 131447 168726 262894 337452 394341 525788 646783 788682 1293566 1577364 1940349 2587132 3023281 3880698 6046562 7761396 8018267 9069843 12093124 16036534 18139686 24054801 32073068 36279372 48109602 60597067 96219204 121194134 181791201 184420141 242388268 363582402 368840282 553260423 727164804 737680564 1106520846 1393732541 2213041692 2787465082 3696421087 4181197623 5574930164 7392842174 8362395246 11089263261 14785684348 16724790492 22178526522 44357053044 85017685001 170035370002 255053055003 340070740004 510106110006 1020212220012