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12022102296 = 233617121259
BaseRepresentation
bin10110011001001001…
…01011100100011000
31011000211201002000000
423030210223210120
5144110124233141
65304535213000
7603630116631
oct131444534430
934024632000
1012022102296
11510a188436
1223b6217160
131197902ac9
14820932888
154a56895b6
hex2cc92b918

12022102296 has 112 divisors (see below), whose sum is σ = 35785038600. Its totient is φ = 3771608832.

The previous prime is 12022102259. The next prime is 12022102297. The reversal of 12022102296 is 69220122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022102297) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38515 + ... + 159773.

Almost surely, 212022102296 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 12022102296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892519300).

12022102296 is an abundant number, since it is smaller than the sum of its proper divisors (23762936304).

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

12022102296 is a wasteful number, since it uses less digits than its factorization.

12022102296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121300 (or 121281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12022102296 in words is "twelve billion, twenty-two million, one hundred two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 5508 5832 8262 11016 12393 16524 24786 33048 49572 99144 121259 242518 363777 485036 727554 970072 1091331 1455108 2061403 2182662 2910216 3273993 4122806 4365324 6184209 6547986 8245612 8730648 9821979 12368418 13095972 16491224 18552627 19643958 24736836 26191944 29465937 37105254 39287916 49473672 55657881 58931874 74210508 78575832 88397811 111315762 117863748 148421016 166973643 176795622 222631524 235727496 333947286 353591244 445263048 500920929 667894572 707182488 1001841858 1335789144 1502762787 2003683716 3005525574 4007367432 6011051148 12022102296