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12180380832 = 25353794133
BaseRepresentation
bin10110101100000000…
…11101110010100000
31011102212112110100000
423112000131302200
5144421134141312
65332351500000
7610561346244
oct132600356240
934385473300
1012180380832
115190564444
12243b227600
1311c163cb49
14837974424
154b4501adc
hex2d601dca0

12180380832 has 144 divisors (see below), whose sum is σ = 36024337440. Its totient is φ = 4048434432.

The previous prime is 12180380827. The next prime is 12180380873. The reversal of 12180380832 is 23808308121.

12180380832 is a `hidden beast` number, since 121 + 80 + 380 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945038 + ... + 2949170.

It is an arithmetic number, because the mean of its divisors is an integer number (250169010).

Almost surely, 212180380832 is an apocalyptic number.

12180380832 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 12180380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012168720).

12180380832 is an abundant number, since it is smaller than the sum of its proper divisors (23843956608).

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

12180380832 is an equidigital number, since it uses as much as digits as its factorization.

12180380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 12180380832 its reverse (23808308121), we get a palindrome (35988688953).

The spelling of 12180380832 in words is "twelve billion, one hundred eighty million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 379 432 486 648 758 864 972 1137 1296 1516 1944 2274 2592 3032 3411 3888 4133 4548 6064 6822 7776 8266 9096 10233 12128 12399 13644 16532 18192 20466 24798 27288 30699 33064 36384 37197 40932 49596 54576 61398 66128 74394 81864 92097 99192 109152 111591 122796 132256 148788 163728 184194 198384 223182 245592 297576 327456 334773 368388 396768 446364 491184 595152 669546 736776 892728 982368 1004319 1190304 1339092 1473552 1566407 1785456 2008638 2678184 2947104 3132814 3570912 4017276 4699221 5356368 6265628 8034552 9398442 10712736 12531256 14097663 16069104 18796884 25062512 28195326 32138208 37593768 42292989 50125024 56390652 75187536 84585978 112781304 126878967 150375072 169171956 225562608 253757934 338343912 380636901 451125216 507515868 676687824 761273802 1015031736 1353375648 1522547604 2030063472 3045095208 4060126944 6090190416 12180380832