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12231616215 = 3571331793659
BaseRepresentation
bin10110110010000111…
…11010011011010111
31011120102221111001210
423121003322123113
5200022243204330
65341421552503
7612053010450
oct133103723327
934512844053
1012231616215
115207479335
122454415733
1311cc13b640
148406b0127
154b8c728b0
hex2d90fa6d7

12231616215 has 128 divisors (see below), whose sum is σ = 25185484800. Its totient is φ = 4930398720.

The previous prime is 12231616171. The next prime is 12231616217. The reversal of 12231616215 is 51261613221.

It is not a de Polignac number, because 12231616215 - 26 = 12231616151 is a prime.

It is a super-2 number, since 2×122316162152 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231616217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341056 + ... + 3344714.

It is an arithmetic number, because the mean of its divisors is an integer number (196761600).

Almost surely, 212231616215 is an apocalyptic number.

12231616215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12231616215 is an abundant number, since it is smaller than the sum of its proper divisors (12953868585).

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

12231616215 is a wasteful number, since it uses less digits than its factorization.

12231616215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797.

The product of its digits is 4320, while the sum is 30.

The spelling of 12231616215 in words is "twelve billion, two hundred thirty-one million, six hundred sixteen thousand, two hundred fifteen".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 79 91 93 105 155 195 217 237 273 395 403 455 465 553 651 1027 1085 1185 1209 1365 1659 2015 2449 2765 2821 3081 3255 3659 5135 6045 7189 7347 8295 8463 10977 12245 14105 15405 17143 18295 21567 25613 31837 35945 36735 42315 47567 51429 54885 76839 85715 95511 107835 113429 128065 142701 159185 222859 237835 257145 289061 332969 340287 384195 477555 567145 668577 713505 794003 867183 998907 1114295 1445305 1474577 1664845 1701435 2023427 2382009 3342885 3757793 3970015 4335915 4423731 4994535 6070281 7372885 8960891 10117135 10322039 11273379 11910045 18788965 22118655 26304551 26882673 30351405 30966117 44804455 51610195 56366895 62726237 78913653 116491583 131522755 134413365 154830585 188178711 313631185 349474749 394568265 582457915 815441081 940893555 1747373745 2446323243 4077205405 12231616215