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12020221020 = 2235298383231
BaseRepresentation
bin10110011000111011…
…00000010001011100
31011000201011111101010
423030131200101130
5144104134033040
65304431015220
7603605123103
oct131435402134
934021144333
1012020221020
115109112a65
1223b566a510
1311973c4722
148205a303a
154a5416e80
hex2cc76045c

12020221020 has 96 divisors (see below), whose sum is σ = 35237099520. Its totient is φ = 3057537280.

The previous prime is 12020220959. The next prime is 12020221027. The reversal of 12020221020 is 2012202021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12020220987 and 12020221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020221027) 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, 102805 + ... + 186035.

It is an arithmetic number, because the mean of its divisors is an integer number (367053120).

Almost surely, 212020221020 is an apocalyptic number.

12020221020 is a gapful number since it is divisible by the number (10) 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 12020221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618549760).

12020221020 is an abundant number, since it is smaller than the sum of its proper divisors (23216878500).

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

12020221020 is a wasteful number, since it uses less digits than its factorization.

12020221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83355 (or 83353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12020221020 its reverse (2012202021), we get a palindrome (14032423041).

The spelling of 12020221020 in words is "twelve billion, twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 435 498 580 830 870 996 1245 1660 1740 2407 2490 4814 4980 7221 9628 12035 14442 24070 28884 36105 48140 72210 83231 144420 166462 249693 332924 416155 499386 832310 998772 1248465 1664620 2413699 2496930 4827398 4993860 6908173 7241097 9654796 12068495 13816346 14482194 20724519 24136990 27632692 28964388 34540865 36205485 41449038 48273980 69081730 72410970 82898076 103622595 138163460 144821940 200337017 207245190 400674034 414490380 601011051 801348068 1001685085 1202022102 2003370170 2404044204 3005055255 4006740340 6010110510 12020221020