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12055011332 = 2271325371677
BaseRepresentation
bin10110011101000100…
…01110000000000100
31011010010122000201012
423032202032000010
5144142040330312
65312112421352
7604506622430
oct131642160004
934103560635
1012055011332
115126815491
122405247858
1311a1685c00
1482505b9c0
154a84da322
hex2ce88e004

12055011332 has 144 divisors (see below), whose sum is σ = 27014383872. Its totient is φ = 4606318080.

The previous prime is 12055011317. The next prime is 12055011361. The reversal of 12055011332 is 23311055021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12055011298 and 12055011307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17806178 + ... + 17806854.

It is an arithmetic number, because the mean of its divisors is an integer number (187599888).

Almost surely, 212055011332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12055011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507191936).

12055011332 is an abundant number, since it is smaller than the sum of its proper divisors (14959372540).

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

12055011332 is a wasteful number, since it uses less digits than its factorization.

12055011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 12055011332 its reverse (23311055021), we get a palindrome (35366066353).

The spelling of 12055011332 in words is "twelve billion, fifty-five million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 53 71 91 106 142 169 182 212 284 338 364 371 497 676 677 689 742 923 994 1183 1354 1378 1484 1846 1988 2366 2708 2756 3692 3763 4732 4739 4823 6461 7526 8801 8957 9478 9646 11999 12922 15052 17602 17914 18956 19292 23998 25844 26341 35204 35828 35881 47996 48067 48919 52682 61607 62699 71762 83993 96134 97838 105364 114413 123214 125398 143524 167986 192268 195676 228826 246428 250796 251167 335972 336469 342433 457652 466453 502334 624871 635947 672938 684866 800891 932906 1004668 1249742 1271894 1345876 1369732 1601782 1865812 2499484 2543788 2547551 3203564 3265171 4374097 4451629 5095102 6063889 6530342 8123323 8748194 8903258 10190204 12127778 13060684 16246646 17496388 17806516 17832857 24255556 32493292 33118163 35665714 42447223 56863261 66236326 71331428 84894446 113726522 132472652 169788892 227453044 231827141 430536119 463654282 861072238 927308564 1722144476 3013752833 6027505666 12055011332