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12342434111200 = 255215428042639
BaseRepresentation
bin1011001110011011001001…
…1001101001111011100000
31121200220222110021022212201
42303212302121221323200
53104204301113024300
642130011433302544
72412466010642644
oct263466231517340
947626873238781
1012342434111200
113a2944031a996
121474068264a54
136b6b6a970a1b
1430953c6aac24
151660c5b2966a
hexb39b2669ee0

12342434111200 has 36 divisors (see below), whose sum is σ = 30130967275920. Its totient is φ = 4936973644160.

The previous prime is 12342434111197. The next prime is 12342434111207. The reversal of 12342434111200 is 211143424321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342434111207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7714020520 + ... + 7714022119.

It is an arithmetic number, because the mean of its divisors is an integer number (836971313220).

Almost surely, 212342434111200 is an apocalyptic number.

12342434111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342434111200 is an abundant number, since it is smaller than the sum of its proper divisors (17788533164720).

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

12342434111200 is a wasteful number, since it uses less digits than its factorization.

12342434111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428042659 (or 15428042646 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12342434111200 its reverse (211143424321), we get a palindrome (12553577535521).

The spelling of 12342434111200 in words is "twelve trillion, three hundred forty-two billion, four hundred thirty-four million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15428042639 30856085278 61712170556 77140213195 123424341112 154280426390 246848682224 308560852780 385701065975 493697364448 617121705560 771402131950 1234243411120 1542804263900 2468486822240 3085608527800 6171217055600 12342434111200