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12012201020 = 22517127283983
BaseRepresentation
bin10110010111111101…
…11010010000111100
31011000011002001000002
423023332322100330
5144100110413040
65303543053432
7603450011141
oct131376722074
934004061002
1012012201020
115104635466
1223b2a41278
131195847171
1481d4b63c8
154a4880a15
hex2cbfba43c

12012201020 has 96 divisors (see below), whose sum is σ = 27042398208. Its totient is φ = 4466230272.

The previous prime is 12012201001. The next prime is 12012201023. The reversal of 12012201020 is 2010221021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12012200992 and 12012201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012201023) 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, 12219449 + ... + 12220431.

It is an arithmetic number, because the mean of its divisors is an integer number (281691648).

Almost surely, 212012201020 is an apocalyptic number.

12012201020 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 12012201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521199104).

12012201020 is an abundant number, since it is smaller than the sum of its proper divisors (15030197188).

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

12012201020 is a wasteful number, since it uses less digits than its factorization.

12012201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12012201020 its reverse (2010221021), we get a palindrome (14022422041).

The spelling of 12012201020 in words is "twelve billion, twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 283 340 508 566 635 983 1132 1270 1415 1966 2159 2540 2830 3932 4318 4811 4915 5660 8636 9622 9830 10795 16711 19244 19660 21590 24055 33422 35941 43180 48110 66844 71882 83555 96220 124841 143764 167110 179705 249682 278189 334220 359410 499364 556378 610997 624205 718820 1112756 1221994 1248410 1390945 2122297 2443988 2496820 2781890 3054985 4244594 4729213 5563780 6109970 8489188 9458426 10611485 12219940 18916852 21222970 23646065 35330003 42445940 47292130 70660006 94584260 141320012 176650015 353300030 600610051 706600060 1201220102 2402440204 3003050255 6006100510 12012201020