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12114012000032 = 253171194204653
BaseRepresentation
bin1011000001001000001101…
…1000011100111100100000
31120220002101022202210120022
42300102003120130330200
53041433444033000112
641433033354533012
72360131340016035
oct260220330347440
946802338683508
1012114012000032
113950583a64a18
12143793a137168
1369b4671501b7
142dc46d95b38c
151601a735dd72
hexb048361cf20

12114012000032 has 24 divisors (see below), whose sum is σ = 23924696038236. Its totient is φ = 6037898720512.

The previous prime is 12114012000019. The next prime is 12114012000049. The reversal of 12114012000032 is 23000021041121.

It can be written as a sum of positive squares in 2 ways, for example, as 11641443745936 + 472568254096 = 3411956^2 + 687436^2 .

It is a super-3 number, since 3×121140120000323 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 597092183 + ... + 597112470.

Almost surely, 212114012000032 is an apocalyptic number.

It is an amenable number.

12114012000032 is a deficient number, since it is larger than the sum of its proper divisors (11810684038204).

12114012000032 is a wasteful number, since it uses less digits than its factorization.

12114012000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194204980 (or 1194204972 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12114012000032 its reverse (23000021041121), we get a palindrome (35114033041153).

The spelling of 12114012000032 in words is "twelve trillion, one hundred fourteen billion, twelve million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 317 634 1268 2536 5072 10144 1194204653 2388409306 4776818612 9553637224 19107274448 38214548896 378562875001 757125750002 1514251500004 3028503000008 6057006000016 12114012000032