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12342111124320 = 253258570910503
BaseRepresentation
bin1011001110011001111100…
…1001100011101101100000
31121200220010221111220011200
42303212133021203231200
53104203120421434240
642125515414441200
72412455006414145
oct263463711435540
947626127456150
1012342111124320
113a29294a7608a
121473b98063200
136b6b18a85123
1430950b8323cc
151660a75c9930
hexb399f263b60

12342111124320 has 72 divisors (see below), whose sum is σ = 42117454216656. Its totient is φ = 3291229632768.

The previous prime is 12342111124297. The next prime is 12342111124349. The reversal of 12342111124320 is 2342111124321.

12342111124320 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 211 + 1 + 12 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4285453812 + ... + 4285456691.

It is an arithmetic number, because the mean of its divisors is an integer number (584964641898).

Almost surely, 212342111124320 is an apocalyptic number.

12342111124320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342111124320 is an abundant number, since it is smaller than the sum of its proper divisors (29775343092336).

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

12342111124320 is a wasteful number, since it uses less digits than its factorization.

12342111124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570910524 (or 8570910513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12342111124320 its reverse (2342111124321), we get a palindrome (14684222248641).

Subtracting from 12342111124320 its reverse (2342111124321), we obtain a palindrome (9999999999999).

The spelling of 12342111124320 in words is "twelve trillion, three hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8570910503 17141821006 25712731509 34283642012 42854552515 51425463018 68567284024 77138194527 85709105030 102850926036 128563657545 137134568048 154276389054 171418210060 205701852072 257127315090 274269136096 308552778108 342836420120 385690972635 411403704144 514254630180 617105556216 685672840240 771381945270 822807408288 1028509260360 1234211112432 1371345680480 1542763890540 2057018520720 2468422224864 3085527781080 4114037041440 6171055562160 12342111124320