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12101231232 = 273238327427
BaseRepresentation
bin10110100010100101…
…00010001010000000
31011020100121020111100
423101102202022000
5144240403344412
65320443214400
7605610524346
oct132122421200
934210536440
1012101231232
11514a914152
122418817400
1311ab11986c
1482b24d996
154ac5b9edc
hex2d14a2280

12101231232 has 96 divisors (see below), whose sum is σ = 34914746880. Its totient is φ = 4023065088.

The previous prime is 12101231213. The next prime is 12101231237. The reversal of 12101231232 is 23213210121.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (12101231237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427503 + ... + 454929.

It is an arithmetic number, because the mean of its divisors is an integer number (363695280).

Almost surely, 212101231232 is an apocalyptic number.

12101231232 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 12101231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457373440).

12101231232 is an abundant number, since it is smaller than the sum of its proper divisors (22813515648).

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

12101231232 is a wasteful number, since it uses less digits than its factorization.

12101231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27830 (or 27815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12101231232 its reverse (23213210121), we get a palindrome (35314441353).

The spelling of 12101231232 in words is "twelve billion, one hundred one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 383 384 576 766 1149 1152 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 24512 27427 27576 36768 49024 54854 55152 73536 82281 109708 110304 147072 164562 219416 220608 246843 329124 438832 441216 493686 658248 877664 987372 1316496 1755328 1974744 2632992 3510656 3949488 5265984 7898976 10504541 10531968 15797952 21009082 31513623 31595904 42018164 63027246 84036328 94540869 126054492 168072656 189081738 252108984 336145312 378163476 504217968 672290624 756326952 1008435936 1344581248 1512653904 2016871872 3025307808 4033743744 6050615616 12101231232