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12261152020 = 22513137344221
BaseRepresentation
bin10110110101101001…
…00101010100010100
31011122111112001120111
423122310211110110
5200102323331040
65344355012404
7612562033615
oct133264452424
934574461514
1012261152020
115222111a97
12246229a104
1312052b0250
1484459bc0c
154bb658dea
hex2dad25514

12261152020 has 48 divisors (see below), whose sum is σ = 27931549968. Its totient is φ = 4494136320.

The previous prime is 12261151993. The next prime is 12261152069. The reversal of 12261152020 is 2025116221.

It can be written as a sum of positive squares in 8 ways, for example, as 57972996 + 12203179024 = 7614^2 + 110468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12261151982 and 12261152000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136491 + ... + 207730.

It is an arithmetic number, because the mean of its divisors is an integer number (581907291).

Almost surely, 212261152020 is an apocalyptic number.

12261152020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12261152020 is an abundant number, since it is smaller than the sum of its proper divisors (15670397948).

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

12261152020 is a wasteful number, since it uses less digits than its factorization.

12261152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344380 (or 344378 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 12261152020 its reverse (2025116221), we get a palindrome (14286268241).

It can be divided in two parts, 122611520 and 20, that multiplied together give a square (2452230400 = 495202).

The spelling of 12261152020 in words is "twelve billion, two hundred sixty-one million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2740 3562 7124 8905 17810 35620 344221 688442 1376884 1721105 3442210 4474873 6884420 8949746 17899492 22374365 44748730 47158277 89497460 94316554 188633108 235791385 471582770 613057601 943165540 1226115202 2452230404 3065288005 6130576010 12261152020