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12064611020 = 22571120833761
BaseRepresentation
bin10110011110001101…
…10101101011001100
31011010210200202000012
423033012311223030
5144202020023040
65313054252352
7604654334030
oct131706655314
934123622005
1012064611020
115131181910
1224084b70b8
1311a36674b7
1482643a1c0
154a9284865
hex2cf1b5acc

12064611020 has 96 divisors (see below), whose sum is σ = 31610912256. Its totient is φ = 3757593600.

The previous prime is 12064611011. The next prime is 12064611023. The reversal of 12064611020 is 2011646021.

It is not an unprimeable number, because it can be changed into a prime (12064611023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205940 + ... + 3209700.

It is an arithmetic number, because the mean of its divisors is an integer number (329280336).

Almost surely, 212064611020 is an apocalyptic number.

12064611020 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 12064611020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805456128).

12064611020 is an abundant number, since it is smaller than the sum of its proper divisors (19546301236).

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

12064611020 is a wasteful number, since it uses less digits than its factorization.

12064611020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 12064611020 in words is "twelve billion, sixty-four million, six hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2083 3761 4166 7522 8332 10415 14581 15044 18805 20830 22913 26327 29162 37610 41371 41660 45826 52654 58324 72905 75220 82742 91652 105308 114565 131635 145810 160391 165484 206855 229130 263270 289597 291620 320782 413710 458260 526540 579194 641564 801955 827420 1158388 1447985 1603910 2895970 3207820 5791940 7834163 15668326 31336652 39170815 54839141 78341630 86175793 109678282 156683260 172351586 219356564 274195705 344703172 430878965 548391410 603230551 861757930 1096782820 1206461102 1723515860 2412922204 3016152755 6032305510 12064611020