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12342400112400 = 2435210285333427
BaseRepresentation
bin1011001110011011000001…
…0111111101011100010000
31121200220220002022000021220
42303212300113331130100
53104204213412044100
642130004220445040
72412465115651041
oct263466027753420
947626802260256
1012342400112400
113a29423109106
1214740589a9780
136b6b638c88a7
14309537d7a8c8
151660c2b60aa0
hexb39b05fd710

12342400112400 has 60 divisors (see below), whose sum is σ = 39536821697232. Its totient is φ = 3291306696320.

The previous prime is 12342400112387. The next prime is 12342400112467. The reversal of 12342400112400 is 421100424321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5142665514 + ... + 5142667913.

Almost surely, 212342400112400 is an apocalyptic number.

12342400112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342400112400 is an abundant number, since it is smaller than the sum of its proper divisors (27194421584832).

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

12342400112400 is a wasteful number, since it uses less digits than its factorization.

12342400112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285333448 (or 10285333437 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12342400112400 its reverse (421100424321), we get a palindrome (12763500536721).

The spelling of 12342400112400 in words is "twelve trillion, three hundred forty-two billion, four hundred million, one hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10285333427 20570666854 30856000281 41141333708 51426667135 61712000562 82282667416 102853334270 123424001124 154280001405 164565334832 205706668540 246848002248 257133335675 308560002810 411413337080 493696004496 514266671350 617120005620 771400007025 822826674160 1028533342700 1234240011240 1542800014050 2057066685400 2468480022480 3085600028100 4114133370800 6171200056200 12342400112400