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12216440366304 = 2531073733188459
BaseRepresentation
bin1011000111000101110010…
…0101101010010011100000
31121020212202201210221002120
42301301130211222103200
53100123232213210204
641552053310144240
72400415531533426
oct261613445522340
947225681727076
1012216440366304
11398aa66117599
1214537651b2080
136a800ba9aa55
143033c9303116
15162b9e8746d9
hexb1c5c96a4e0

12216440366304 has 96 divisors (see below), whose sum is σ = 32454645632640. Its totient is φ = 4023272827392.

The previous prime is 12216440366279. The next prime is 12216440366321. The reversal of 12216440366304 is 40366304461221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237227 + ... + 5425685.

It is an arithmetic number, because the mean of its divisors is an integer number (338069225340).

Almost surely, 212216440366304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216440366304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227322816320).

12216440366304 is an abundant number, since it is smaller than the sum of its proper divisors (20238205266336).

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

12216440366304 is a wasteful number, since it uses less digits than its factorization.

12216440366304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188952 (or 3188944 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 12216440366304 in words is "twelve trillion, two hundred sixteen billion, four hundred forty million, three hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 373 428 642 746 856 1119 1284 1492 1712 2238 2568 2984 3424 4476 5136 5968 8952 10272 11936 17904 35808 39911 79822 119733 159644 239466 319288 478932 638576 957864 1277152 1915728 3188459 3831456 6376918 9565377 12753836 19130754 25507672 38261508 51015344 76523016 102030688 153046032 306092064 341165113 682330226 1023495339 1189295207 1364660452 2046990678 2378590414 2729320904 3567885621 4093981356 4757180828 5458641808 7135771242 8187962712 9514361656 10917283616 14271542484 16375925424 19028723312 28543084968 32751850848 38057446624 57086169936 114172339872 127254587149 254509174298 381763761447 509018348596 763527522894 1018036697192 1527055045788 2036073394384 3054110091576 4072146788768 6108220183152 12216440366304