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12019833225 = 325273092
BaseRepresentation
bin10110011000111000…
…00001100110001001
31011000200102210102100
423030130001212021
5144104034130400
65304414424013
7603601616361
oct131434014611
934020383370
1012019833225
115108978674
1223b5502009
1311972ba06a
148205019a1
154a538c100
hex2cc701989

12019833225 has 27 divisors (see below), whose sum is σ = 21531802773. Its totient is φ = 6409700640.

The previous prime is 12019833197. The next prime is 12019833253. The reversal of 12019833225 is 52233891021.

The square root of 12019833225 is 109635.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12019833197) and next prime (12019833253).

It can be written as a sum of positive squares in 4 ways, for example, as 474760521 + 11545072704 = 21789^2 + 107448^2 .

It is not a de Polignac number, because 12019833225 - 25 = 12019833193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12019833225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1640871 + ... + 1648179.

Almost surely, 212019833225 is an apocalyptic number.

12019833225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12019833225 is the 109635-th square number.

12019833225 is the 54818-th centered octagonal number.

It is an amenable number.

12019833225 is a deficient number, since it is larger than the sum of its proper divisors (9511969548).

12019833225 is an frugal number, since it uses more digits than its factorization.

12019833225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14634 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 12019833225 by its sum of digits (36), we get a square (432713996100 = 6578102).

The spelling of 12019833225 in words is "twelve billion, nineteen million, eight hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 7309 21927 36545 65781 109635 182725 328905 548175 1644525 53421481 160264443 267107405 480793329 801322215 1335537025 2403966645 4006611075 12019833225