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12230310312 = 23331112740531
BaseRepresentation
bin10110110001111101…
…11011100110101000
31011120100111010201000
423120332323212220
5200021424412222
65341333555000
7612035631243
oct133076734650
934510433630
1012230310312
115206767180
122453aa5a60
1311cbaa210c
1484045025a
154b8ab59ac
hex2d8fbb9a8

12230310312 has 128 divisors (see below), whose sum is σ = 37354291200. Its totient is φ = 3676881600.

The previous prime is 12230310277. The next prime is 12230310347. The reversal of 12230310312 is 21301303221.

12230310312 is a `hidden beast` number, since 12 + 2 + 30 + 310 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (12230310277) and next prime (12230310347).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281487 + ... + 322017.

It is an arithmetic number, because the mean of its divisors is an integer number (291830400).

Almost surely, 212230310312 is an apocalyptic number.

12230310312 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 12230310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677145600).

12230310312 is an abundant number, since it is smaller than the sum of its proper divisors (25123980888).

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

12230310312 is a wasteful number, since it uses less digits than its factorization.

12230310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40684 (or 40674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12230310312 its reverse (21301303221), we get a palindrome (33531613533).

The spelling of 12230310312 in words is "twelve billion, two hundred thirty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 127 132 198 216 254 264 297 381 396 508 594 762 792 1016 1143 1188 1397 1524 2286 2376 2794 3048 3429 4191 4572 5588 6858 8382 9144 11176 12573 13716 16764 25146 27432 33528 37719 40531 50292 75438 81062 100584 121593 150876 162124 243186 301752 324248 364779 445841 486372 729558 891682 972744 1094337 1337523 1459116 1783364 2188674 2675046 2918232 3566728 4012569 4377348 5147437 5350092 8025138 8754696 10294874 10700184 12037707 15442311 16050276 20589748 24075414 30884622 32100552 41179496 46326933 48150828 56621807 61769244 92653866 96301656 113243614 123538488 138980799 169865421 185307732 226487228 277961598 339730842 370615464 452974456 509596263 555923196 679461684 1019192526 1111846392 1358923368 1528788789 2038385052 3057577578 4076770104 6115155156 12230310312