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12423405212208 = 2432612731517877
BaseRepresentation
bin1011010011001000110010…
…1001111001001000110000
31121222122222110200110000200
42310302030221321020300
53112021113213242313
642231122241115200
72421363363643554
oct264621451711060
947878873613020
1012423405212208
113a5a811401591
1214878a5328b00
136c16a3034c03
1430d4203cd864
151682644bbb73
hexb4c8ca79230

12423405212208 has 120 divisors (see below), whose sum is σ = 35351259602256. Its totient is φ = 4071748262400.

The previous prime is 12423405212173. The next prime is 12423405212221. The reversal of 12423405212208 is 80221250432421.

12423405212208 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 405 + 21 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23730166 + ... + 24248042.

Almost surely, 212423405212208 is an apocalyptic number.

12423405212208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423405212208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675629801128).

12423405212208 is an abundant number, since it is smaller than the sum of its proper divisors (22927854390048).

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

12423405212208 is a wasteful number, since it uses less digits than its factorization.

12423405212208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520683 (or 520674 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 12423405212208 its reverse (80221250432421), we get a palindrome (92644655644629).

The spelling of 12423405212208 in words is "twelve trillion, four hundred twenty-three billion, four hundred five million, two hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2731 2928 4392 5462 8193 8784 10924 16386 21848 24579 32772 43696 49158 65544 98316 131088 166591 196632 333182 393264 499773 517877 666364 999546 1035754 1332728 1499319 1553631 1999092 2071508 2665456 2998638 3107262 3998184 4143016 4660893 5997276 6214524 7996368 8286032 9321786 11994552 12429048 18643572 23989104 24858096 31590497 37287144 63180994 74574288 94771491 126361988 189542982 252723976 284314473 379085964 505447952 568628946 758171928 1137257892 1414322087 1516343856 2274515784 2828644174 4242966261 4549031568 5657288348 8485932522 11314576696 12728898783 16971865044 22629153392 25457797566 33943730088 50915595132 67887460176 86273647307 101831190264 172547294614 203662380528 258820941921 345094589228 517641883842 690189178456 776462825763 1035283767684 1380378356912 1552925651526 2070567535368 3105851303052 4141135070736 6211702606104 12423405212208