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12266236840 = 235111316712841
BaseRepresentation
bin10110110110001111…
…11110101110101000
31011122212002101122011
423123013332232220
5200110124034330
65345100005304
7612653202304
oct133307765650
934585071564
1012266236840
115224a75320
122463b30834
131206370810
14845122d04
154bbd1082a
hex2db1feba8

12266236840 has 128 divisors (see below), whose sum is σ = 32620734720. Its totient is φ = 4092364800.

The previous prime is 12266236823. The next prime is 12266236849. The reversal of 12266236840 is 4863266221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12266236793 and 12266236802.

It is not an unprimeable number, because it can be changed into a prime (12266236849) 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, 948820 + ... + 961660.

It is an arithmetic number, because the mean of its divisors is an integer number (254849490).

Almost surely, 212266236840 is an apocalyptic number.

12266236840 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 12266236840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310367360).

12266236840 is an abundant number, since it is smaller than the sum of its proper divisors (20354497880).

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

12266236840 is a wasteful number, since it uses less digits than its factorization.

12266236840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043 (or 13039 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 12266236840 in words is "twelve billion, two hundred sixty-six million, two hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 167 220 260 286 334 440 520 572 668 715 835 1144 1336 1430 1670 1837 2171 2860 3340 3674 4342 5720 6680 7348 8684 9185 10855 12841 14696 17368 18370 21710 23881 25682 36740 43420 47762 51364 64205 73480 86840 95524 102728 119405 128410 141251 166933 191048 238810 256820 282502 333866 477620 513640 565004 667732 706255 834665 955240 1130008 1335464 1412510 1669330 1836263 2144447 2825020 3338660 3672526 4288894 5650040 6677320 7345052 8577788 9181315 10722235 14690104 17155576 18362630 21444470 23588917 27877811 36725260 42888940 47177834 55755622 73450520 85777880 94355668 111511244 117944585 139389055 188711336 223022488 235889170 278778110 306655921 471778340 557556220 613311842 943556680 1115112440 1226623684 1533279605 2453247368 3066559210 6133118420 12266236840