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12337448112 = 24321147165719
BaseRepresentation
bin10110111110101111…
…01000010010110000
31011211211002022010200
423133113220102300
5200231341314422
65400122155200
7614506402323
oct133727502260
934754068120
1012337448112
115261193410
122483952b00
131218044772
1485077c7ba
154c31ca2ac
hex2df5e84b0

12337448112 has 120 divisors (see below), whose sum is σ = 38468252160. Its totient is φ = 3659053440.

The previous prime is 12337448077. The next prime is 12337448119. The reversal of 12337448112 is 21184473321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12337448119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8412 + ... + 157307.

It is an arithmetic number, because the mean of its divisors is an integer number (320568768).

Almost surely, 212337448112 is an apocalyptic number.

12337448112 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 12337448112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234126080).

12337448112 is an abundant number, since it is smaller than the sum of its proper divisors (26130804048).

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

12337448112 is a wasteful number, since it uses less digits than its factorization.

12337448112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165791 (or 165782 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 12337448112 in words is "twelve billion, three hundred thirty-seven million, four hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4653 6204 6768 8272 9306 12408 18612 24816 37224 74448 165719 331438 497157 662876 994314 1325752 1491471 1822909 1988628 2651504 2982942 3645818 3977256 5468727 5965884 7291636 7788793 7954512 10937454 11931768 14583272 15577586 16406181 21874908 23366379 23863536 29166544 31155172 32812362 43749816 46732758 62310344 65624724 70099137 85676723 87499632 93465516 124620688 131249448 140198274 171353446 186931032 257030169 262498896 280396548 342706892 373862064 514060338 560793096 685413784 771090507 1028120676 1121586192 1370827568 1542181014 2056241352 3084362028 4112482704 6168724056 12337448112