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12011122212201 = 32710117891055143
BaseRepresentation
bin1010111011001000111010…
…1011000011110101101001
31120112020210202111000122200
42232302032223003311221
53033242234241242301
641313500001410413
72346526543162110
oct256621653036551
946466722430580
1012011122212201
1139109853a5512
12141ba04639a09
1369184aa37038
142d74acbc2c77
1515c6845a0c86
hexaec8eac3d69

12011122212201 has 48 divisors (see below), whose sum is σ = 20035411918080. Its totient is φ = 6791738025600.

The previous prime is 12011122212197. The next prime is 12011122212247. The reversal of 12011122212201 is 10221222111021.

12011122212201 is a `hidden beast` number, since 120 + 11 + 122 + 212 + 201 = 666.

It is not a de Polignac number, because 12011122212201 - 22 = 12011122212197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12011122212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10855836 + ... + 11910978.

It is an arithmetic number, because the mean of its divisors is an integer number (417404414960).

Almost surely, 212011122212201 is an apocalyptic number.

It is an amenable number.

12011122212201 is a deficient number, since it is larger than the sum of its proper divisors (8024289705879).

12011122212201 is a wasteful number, since it uses less digits than its factorization.

12011122212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057046 (or 1057043 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011122212201 its reverse (10221222111021), we get a palindrome (22232344323222).

The spelling of 12011122212201 in words is "twelve trillion, eleven billion, one hundred twenty-two million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 63 101 303 707 909 1789 2121 5367 6363 12523 16101 37569 112707 180689 542067 1055143 1264823 1626201 3165429 3794469 7386001 9496287 11383407 22158003 66474009 106569443 319708329 745986101 959124987 1887650827 2237958303 5662952481 6713874909 13213555789 16988857443 39640667367 118922002101 190652733527 571958200581 1334569134689 1715874601743 4003707404067 12011122212201