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12001213220112 = 2432107778894939
BaseRepresentation
bin1010111010100100000000…
…0011010000010100010000
31120111022020011222001220200
42232221000003100110100
53033111441041020422
641305140425335200
72346026152141254
oct256510003202420
946438204861820
1012001213220112
11390775aaa0056
121419aba037500
1369092bb624cc
142d6c0cb90264
1515c2a46bd2ac
hexaea400d0510

12001213220112 has 60 divisors (see below), whose sum is σ = 33900623368560. Its totient is φ = 3963017444544.

The previous prime is 12001213220071. The next prime is 12001213220147. The reversal of 12001213220112 is 21102231210021.

12001213220112 is a `hidden beast` number, since 120 + 0 + 1 + 213 + 220 + 112 = 666.

It is a super-3 number, since 3×120012132201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389432062 + ... + 389462877.

It is an arithmetic number, because the mean of its divisors is an integer number (565010389476).

Almost surely, 212001213220112 is an apocalyptic number.

12001213220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001213220112 is an abundant number, since it is smaller than the sum of its proper divisors (21899410148448).

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

12001213220112 is a wasteful number, since it uses less digits than its factorization.

12001213220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778895060 (or 778895051 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12001213220112 its reverse (21102231210021), we get a palindrome (33103444430133).

The spelling of 12001213220112 in words is "twelve trillion, one billion, two hundred thirteen million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 778894939 1557789878 2336684817 3115579756 4673369634 6231159512 7010054451 9346739268 12462319024 14020108902 18693478536 28040217804 37386957072 56080435608 83341758473 112160871216 166683516946 250025275419 333367033892 500050550838 666734067784 750075826257 1000101101676 1333468135568 1500151652514 2000202203352 3000303305028 4000404406704 6000606610056 12001213220112