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20120020101012 = 223131011973964693
BaseRepresentation
bin1001001001100100011101…
…01001101010011110010100
32122020110021210110100120010
410210302032221222132110
510114121300121213022
6110443002025240220
74144423566033546
oct444621651523624
978213253410503
1020120020101012
116457941901367
12230b48a033070
13b2c4046b84a0
144d7b58117696
1524d57b9ac50c
hex124c8ea6a794

20120020101012 has 96 divisors (see below), whose sum is σ = 51061949447040. Its totient is φ = 6129075340800.

The previous prime is 20120020101001. The next prime is 20120020101017. The reversal of 20120020101012 is 21010102002102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120020101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310975338 + ... + 311040030.

It is an arithmetic number, because the mean of its divisors is an integer number (531895306740).

Almost surely, 220120020101012 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 20120020101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530974723520).

20120020101012 is an abundant number, since it is smaller than the sum of its proper divisors (30941929346028).

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

20120020101012 is a wasteful number, since it uses less digits than its factorization.

20120020101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84553 (or 84551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120020101012 its reverse (21010102002102), we get a palindrome (41130122103114).

The spelling of 20120020101012 in words is "twenty trillion, one hundred twenty billion, twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 5252 7878 15756 19739 39478 59217 64693 78956 118434 129386 194079 236868 256607 258772 388158 513214 769821 776316 841009 1026428 1539642 1682018 1993639 2523027 3079284 3364036 3987278 5046054 5980917 6533993 7974556 10092108 11961834 13067986 19601979 23923668 25917307 26135972 39203958 51834614 77751921 78407916 84941909 103669228 155503842 169883818 254825727 311007684 339767636 509651454 1019302908 1276975127 2553950254 3830925381 5107900508 7661850762 15323701524 16600676651 33201353302 49802029953 66402706604 99604059906 128974487827 199208119812 257948975654 386923463481 515897951308 773846926962 1547693853924 1676668341751 3353336683502 5030005025253 6706673367004 10060010050506 20120020101012