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12324153420312 = 2333723071221811
BaseRepresentation
bin1011001101010111000011…
…0010010110101000011000
31121122011210102221000100020
42303111300302112220120
53103404331233422222
642113345442510440
72411251003432026
oct263256062265030
947564712830306
1012324153420312
113a2170a352298
121470606065420
136b5216543476
143086c6895716
151658a5cc865c
hexb3570c96a18

12324153420312 has 96 divisors (see below), whose sum is σ = 31768773664320. Its totient is φ = 3983999852160.

The previous prime is 12324153420307. The next prime is 12324153420323. The reversal of 12324153420312 is 21302435142321.

It is a happy number.

It is a super-3 number, since 3×123241534203123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 9475887 + ... + 10697697.

It is an arithmetic number, because the mean of its divisors is an integer number (330924725670).

Almost surely, 212324153420312 is an apocalyptic number.

12324153420312 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 12324153420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884386832160).

12324153420312 is an abundant number, since it is smaller than the sum of its proper divisors (19444620244008).

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

12324153420312 is a wasteful number, since it uses less digits than its factorization.

12324153420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222201 (or 1222160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 12324153420312 its reverse (21302435142321), we get a palindrome (33626588562633).

The spelling of 12324153420312 in words is "twelve trillion, three hundred twenty-four billion, one hundred fifty-three million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 307 444 614 888 921 1228 1369 1842 2456 2738 3684 4107 5476 7368 8214 10952 11359 16428 22718 32856 34077 45436 68154 90872 136308 272616 420283 840566 1221811 1260849 1681132 2443622 2521698 3362264 3665433 4887244 5043396 7330866 9774488 10086792 14661732 29323464 45207007 90414014 135621021 180828028 271242042 361656056 375095977 542484084 750191954 1084968168 1125287931 1500383908 1672659259 2250575862 3000767816 3345318518 4501151724 5017977777 6690637036 9002303448 10035955554 13381274072 13878551149 20071911108 27757102298 40143822216 41635653447 55514204596 83271306894 111028409192 166542613788 333085227576 513506392513 1027012785026 1540519177539 2054025570052 3081038355078 4108051140104 6162076710156 12324153420312