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12240221240 = 2351325791591
BaseRepresentation
bin10110110011001001…
…01111010000111000
31011121001010122221102
423121210233100320
5200031444034430
65342330230532
7612216110132
oct133144572070
934531118842
1012240221240
115211316425
122457285448
131200b62280
148418b0052
154b98c2345
hex2d992f438

12240221240 has 64 divisors (see below), whose sum is σ = 29774727360. Its totient is φ = 4501831680.

The previous prime is 12240221219. The next prime is 12240221261. The reversal of 12240221240 is 4212204221.

12240221240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12240221219) and next prime (12240221261).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87845 + ... + 179435.

It is an arithmetic number, because the mean of its divisors is an integer number (465230115).

Almost surely, 212240221240 is an apocalyptic number.

12240221240 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 12240221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887363680).

12240221240 is an abundant number, since it is smaller than the sum of its proper divisors (17534506120).

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

12240221240 is a wasteful number, since it uses less digits than its factorization.

12240221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91872 (or 91868 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12240221240 its reverse (4212204221), we get a palindrome (16452425461).

The spelling of 12240221240 in words is "twelve billion, two hundred forty million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 257 260 514 520 1028 1285 2056 2570 3341 5140 6682 10280 13364 16705 26728 33410 66820 91591 133640 183182 366364 457955 732728 915910 1190683 1831820 2381366 3663640 4762732 5953415 9525464 11906830 23538887 23813660 47077774 47627320 94155548 117694435 188311096 235388870 306005531 470777740 612011062 941555480 1224022124 1530027655 2448044248 3060055310 6120110620 12240221240