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2012102020012 = 227375946770489
BaseRepresentation
bin11101010001111010101…
…000000100101110101100
321010100120211221011110111
4131101322220010232230
5230431241104120022
64140202533145404
7265240522656160
oct35217250045654
97110524834414
102012102020012
11706367153617
12285b60a8b264
13117981898c66
146d559c66ca0
15375156a1477
hex1d47aa04bac

2012102020012 has 96 divisors (see below), whose sum is σ = 4212076377600. Its totient is φ = 823024654848.

The previous prime is 2012102020009. The next prime is 2012102020043. The reversal of 2012102020012 is 2100202012102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012102019974 and 2012102020001.

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, 28509664 + ... + 28580152.

It is an arithmetic number, because the mean of its divisors is an integer number (43875795600).

Almost surely, 22012102020012 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 2012102020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106038188800).

2012102020012 is an abundant number, since it is smaller than the sum of its proper divisors (2199974357588).

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

2012102020012 is a wasteful number, since it uses less digits than its factorization.

2012102020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71063 (or 71061 counting only the distinct ones).

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

Adding to 2012102020012 its reverse (2100202012102), we get a palindrome (4112304032114).

It can be divided in two parts, 201210 and 2020012, that added together give a palindrome (2221222).

The spelling of 2012102020012 in words is "two trillion, twelve billion, one hundred two million, twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 37 59 74 118 148 236 259 413 467 518 826 934 1036 1652 1868 2183 3269 4366 6538 8732 13076 15281 17279 27553 30562 34558 55106 61124 69116 70489 110212 120953 140978 192871 241906 281956 385742 483812 493423 771484 986846 1019461 1973692 2038922 2608093 4077844 4158851 5216186 7136227 8317702 10432372 14272454 16635404 18256651 28544908 29111957 32918363 36513302 58223914 65836726 73026604 116447828 131673452 153877487 230428541 307754974 460857082 615509948 921714164 1077142409 1217979431 1942183417 2154284818 2435958862 3884366834 4308569636 4871917724 7768733668 8525856017 13595283919 17051712034 27190567838 34103424068 54381135676 71860786429 143721572858 287443145716 503025505003 1006051010006 2012102020012