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12342400012140 = 22351183922289161
BaseRepresentation
bin1011001110011011000001…
…0111100100111101101100
31121200220220002002220202120
42303212300113210331230
53104204213400342030
642130004214352540
72412465115052532
oct263466027447554
947626802086676
1012342400012140
113a2942304a850
12147405895b750
136b6b63892073
14309537d52152
151660c2b41010
hexb39b05e4f6c

12342400012140 has 96 divisors (see below), whose sum is σ = 37745358497280. Its totient is φ = 2988530572800.

The previous prime is 12342400012127. The next prime is 12342400012157. The reversal of 12342400012140 is 4121000424321.

It is a self number, because there is not a number n which added to its sum of digits gives 12342400012140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10590841 + ... + 11698320.

It is an arithmetic number, because the mean of its divisors is an integer number (393180817680).

Almost surely, 212342400012140 is an apocalyptic number.

12342400012140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342400012140 is an abundant number, since it is smaller than the sum of its proper divisors (25402958485140).

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

12342400012140 is a wasteful number, since it uses less digits than its factorization.

12342400012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22290023 (or 22290021 counting only the distinct ones).

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

Adding to 12342400012140 its reverse (4121000424321), we get a palindrome (16463400436461).

The spelling of 12342400012140 in words is "twelve trillion, three hundred forty-two billion, four hundred million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 839 1678 2517 3356 4195 5034 8390 9229 10068 12585 16780 18458 25170 27687 36916 46145 50340 55374 92290 110748 138435 184580 276870 553740 22289161 44578322 66867483 89156644 111445805 133734966 222891610 245180771 267469932 334337415 445783220 490361542 668674830 735542313 980723084 1225903855 1337349660 1471084626 2451807710 2942169252 3677711565 4903615420 7355423130 14710846260 18700606079 37401212158 56101818237 74802424316 93503030395 112203636474 187006060790 205706666869 224407272948 280509091185 374012121580 411413333738 561018182370 617120000607 822826667476 1028533334345 1122036364740 1234240001214 2057066668690 2468480002428 3085600003035 4114133337380 6171200006070 12342400012140