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12332120506056 = 2333134391780807
BaseRepresentation
bin1011001101110100101110…
…1010010111111011001000
31121122221100200101220101000
42303131023222113323020
53104022140322143211
642121144205055000
72411652304515201
oct263351352277310
947587320356330
1012332120506056
113a2502858977a
12147206a257460
136b5bb6000ca0
14308c40a325a8
15165bc0471656
hexb374ba97ec8

12332120506056 has 64 divisors (see below), whose sum is σ = 36890958787200. Its totient is φ = 3794498616384.

The previous prime is 12332120506001. The next prime is 12332120506067. The reversal of 12332120506056 is 65060502123321.

12332120506056 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 21 + 20 + 5 + 0 + 605 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12332120506056.

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, 2195887596 + ... + 2195893211.

It is an arithmetic number, because the mean of its divisors is an integer number (576421231050).

Almost surely, 212332120506056 is an apocalyptic number.

It is an amenable number.

12332120506056 is an abundant number, since it is smaller than the sum of its proper divisors (24558838281144).

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

12332120506056 is a wasteful number, since it uses less digits than its factorization.

12332120506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391780835 (or 4391780825 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12332120506056 its reverse (65060502123321), we get a palindrome (77392622629377).

The spelling of 12332120506056 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty million, five hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4391780807 8783561614 13175342421 17567123228 26350684842 35134246456 39526027263 52701369684 57093150491 79052054526 105402739368 114186300982 118578081789 158104109052 171279451473 228372601964 237156163578 316208218104 342558902946 456745203928 474312327156 513838354419 685117805892 948624654312 1027676708838 1370235611784 1541515063257 2055353417676 3083030126514 4110706835352 6166060253028 12332120506056