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12002211031332 = 22329471933802129
BaseRepresentation
bin1010111010100111101110…
…0001100110100100100100
31120111101210201112010120210
42232221323201212210210
53033121012011000312
641305423432055420
72346062656325004
oct256517341464444
946441721463523
1012002211031332
113908122259425
12141a138234570
13690a5a7b4352
142d6ca54cc004
1515c3120bae3c
hexaea7b866924

12002211031332 has 96 divisors (see below), whose sum is σ = 29740565030400. Its totient is φ = 3761004183552.

The previous prime is 12002211031247. The next prime is 12002211031337. The reversal of 12002211031332 is 23313011220021.

12002211031332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12002211031299 and 12002211031308.

It is not an unprimeable number, because it can be changed into a prime (12002211031337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255644 + ... + 5057772.

It is an arithmetic number, because the mean of its divisors is an integer number (309797552400).

Almost surely, 212002211031332 is an apocalyptic number.

12002211031332 is a gapful number since it is divisible by the number (12) 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 12002211031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870282515200).

12002211031332 is an abundant number, since it is smaller than the sum of its proper divisors (17738353999068).

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

12002211031332 is a wasteful number, since it uses less digits than its factorization.

12002211031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802405 (or 3802403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12002211031332 its reverse (23313011220021), we get a palindrome (35315222251353).

The spelling of 12002211031332 in words is "twelve trillion, two billion, two hundred eleven million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 193 282 348 386 564 579 772 1158 1363 2316 2726 4089 5452 5597 8178 9071 11194 16356 16791 18142 22388 27213 33582 36284 54426 67164 108852 263059 526118 789177 1052236 1578354 3156708 3802129 7604258 11406387 15208516 22812774 45625548 110261741 178700063 220523482 330785223 357400126 441046964 536100189 661570446 714800252 733810897 1072200378 1323140892 1467621794 2144400756 2201432691 2935243588 4402865382 5182301827 8805730764 10364603654 15546905481 20729207308 21280516013 31093810962 34489112159 42561032026 62187621924 63841548039 68978224318 85122064052 103467336477 127683096078 137956448636 206934672954 255366192156 413869345908 1000184252611 2000368505222 3000552757833 4000737010444 6001105515666 12002211031332