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12612313401127 = 1147107991230063
BaseRepresentation
bin1011011110001000100001…
…1101011100011100100111
31122122201120210202202011021
42313202020131130130213
53123120004212314002
642454003343152011
72441131612030126
oct267421035343447
948581523682137
1012612313401127
114022941126970
1214b84262a5607
1370644a3c235b
14318621341abd
1516d11dcb8737
hexb788875c727

12612313401127 has 32 divisors (see below), whose sum is σ = 14197326741504. Its totient is φ = 11105644888800.

The previous prime is 12612313401109. The next prime is 12612313401131. The reversal of 12612313401127 is 72110431321621.

It is not a de Polignac number, because 12612313401127 - 223 = 12612305012519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12612313401092 and 12612313401101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612313401157) 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 31 ways as a sum of consecutive naturals, for example, 54706098 + ... + 54936160.

It is an arithmetic number, because the mean of its divisors is an integer number (443666460672).

Almost surely, 212612313401127 is an apocalyptic number.

12612313401127 is a deficient number, since it is larger than the sum of its proper divisors (1585013340377).

12612313401127 is a wasteful number, since it uses less digits than its factorization.

12612313401127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231219.

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 12612313401127 its reverse (72110431321621), we get a palindrome (84722744722748).

The spelling of 12612313401127 in words is "twelve trillion, six hundred twelve billion, three hundred thirteen million, four hundred one thousand, one hundred twenty-seven".

Divisors: 1 11 47 107 517 991 1177 5029 10901 46577 55319 106037 230063 512347 1166407 2530693 4983739 10812961 24616741 54821129 118942571 227992433 270784151 1156986827 2507916763 10715644351 12726855097 24395190331 117872087861 268347093641 1146573945557 12612313401127