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12025446660 = 22325536731873
BaseRepresentation
bin10110011001100010…
…11100000100000100
31011001001222222121100
423030301130010010
5144112003243120
65305135020100
7604000416153
oct131461340404
934031888540
1012025446660
115111062077
1223b736a630
131198504116
1482116359a
154a5aea490
hex2ccc5c104

12025446660 has 144 divisors (see below), whose sum is σ = 37240532784. Its totient is φ = 3139928064.

The previous prime is 12025446659. The next prime is 12025446673. The reversal of 12025446660 is 6664452021.

It can be written as a sum of positive squares in 8 ways, for example, as 1458017856 + 10567428804 = 38184^2 + 102798^2 .

It is a super-2 number, since 2×120254466602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6419484 + ... + 6421356.

It is an arithmetic number, because the mean of its divisors is an integer number (258614811).

Almost surely, 212025446660 is an apocalyptic number.

12025446660 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 12025446660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620266392).

12025446660 is an abundant number, since it is smaller than the sum of its proper divisors (25215086124).

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

12025446660 is a wasteful number, since it uses less digits than its factorization.

12025446660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12025446660 its reverse (6664452021), we get a palindrome (18689898681).

The spelling of 12025446660 in words is "twelve billion, twenty-five million, four hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 673 795 954 1060 1346 1590 1873 1908 2019 2385 2692 3180 3365 3746 4038 4770 5619 6057 6730 7492 8076 9365 9540 10095 11238 12114 13460 16857 18730 20190 22476 24228 28095 30285 33714 35669 37460 40380 56190 60570 67428 71338 84285 99269 107007 112380 121140 142676 168570 178345 198538 214014 297807 321021 337140 356690 397076 428028 496345 535035 595614 642042 713380 893421 992690 1070070 1191228 1260529 1284084 1489035 1605105 1786842 1985380 2140140 2521058 2978070 3210210 3573684 3781587 4467105 5042116 5956140 6302645 6420420 7563174 8934210 11344761 12605290 15126348 17868420 18907935 22689522 25210580 37815870 45379044 56723805 66808037 75631740 113447610 133616074 200424111 226895220 267232148 334040185 400848222 601272333 668080370 801696444 1002120555 1202544666 1336160740 2004241110 2405089332 3006361665 4008482220 6012723330 12025446660