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12120232301334 = 2333717123354271
BaseRepresentation
bin1011000001011111011000…
…1001000001001100010110
31120220200102211100211211000
42300113312021001030112
53042034213432120314
641435542521324130
72360441440504203
oct260276611011426
946820384324730
1012120232301334
1139531861843a3
121438b95336646
1369bc18a60861
142dc89db14caa
1516041d4b1209
hexb05f6241316

12120232301334 has 64 divisors (see below), whose sum is σ = 27663484999680. Its totient is φ = 3930645489120.

The previous prime is 12120232301321. The next prime is 12120232301341. The reversal of 12120232301334 is 43310323202121.

12120232301334 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 2 + 323 + 0 + 1 + 334 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12120232301298 and 12120232301307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34034619 + ... + 34388889.

It is an arithmetic number, because the mean of its divisors is an integer number (432241953120).

Almost surely, 212120232301334 is an apocalyptic number.

12120232301334 is an abundant number, since it is smaller than the sum of its proper divisors (15543252698346).

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

12120232301334 is a wasteful number, since it uses less digits than its factorization.

12120232301334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371442 (or 371436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12120232301334 its reverse (43310323202121), we get a palindrome (55430555503455).

The spelling of 12120232301334 in words is "twelve trillion, one hundred twenty billion, two hundred thirty-two million, three hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 17123 34246 51369 102738 154107 308214 354271 462321 633551 708542 924642 1062813 1267102 1900653 2125626 3188439 3801306 5701959 6376878 9565317 11403918 13108027 17105877 19130634 26216054 34211754 39324081 78648162 117972243 235944486 353916729 707833458 6066182333 12132364666 18198546999 36397093998 54595640997 109191281994 163786922991 224448746321 327573845982 448897492642 673346238963 1346692477926 2020038716889 4040077433778 6060116150667 12120232301334