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20121021201020 = 225231091523263491
BaseRepresentation
bin1001001001100110010100…
…10100100011101001111100
32122020112212120012111121012
410210303022110203221330
510114130322411413040
6110443245230254352
74144460443165505
oct444631224435174
978215776174535
1020121021201020
116458305a06643
12230b7093573b8
13b2c533c1c25c
144d7c1106dbac
1524d5d9809865
hex124cca523a7c

20121021201020 has 96 divisors (see below), whose sum is σ = 44525173271040. Its totient is φ = 7622812074240.

The previous prime is 20121021200947. The next prime is 20121021201049. The reversal of 20121021201020 is 2010212012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121021200986 and 20121021201004.

It is a congruent number.

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, 76231475 + ... + 76494965.

It is an arithmetic number, because the mean of its divisors is an integer number (463803888240).

Almost surely, 220121021201020 is an apocalyptic number.

20121021201020 is a gapful number since it is divisible by the number (20) 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 20121021201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262586635520).

20121021201020 is an abundant number, since it is smaller than the sum of its proper divisors (24404152070020).

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

20121021201020 is a wasteful number, since it uses less digits than its factorization.

20121021201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265155 (or 265153 counting only the distinct ones).

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

Adding to 20121021201020 its reverse (2010212012102), we get a palindrome (22131233213122).

The spelling of 20121021201020 in words is "twenty trillion, one hundred twenty-one billion, twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 1523 2180 2507 3046 5014 6092 7615 10028 12535 15230 25070 30460 35029 50140 70058 140116 166007 175145 263491 332014 350290 526982 664028 700580 830035 1053964 1317455 1660070 2634910 3320140 3818161 5269820 6060293 7636322 12120586 15272644 19090805 24241172 28720519 30301465 38181610 57441038 60602930 76363220 114882076 121205860 143602595 287205190 401296793 574410380 660571937 802593586 1321143874 1605187172 2006483965 2642287748 3302859685 4012967930 6605719370 8025935860 9229826239 13211438740 18459652478 36919304956 43741350437 46149131195 87482700874 92298262390 174965401748 184596524780 218706752185 437413504370 874827008740 1006051060051 2012102120102 4024204240204 5030255300255 10060510600510 20121021201020