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12111001233201 = 3213427324224861
BaseRepresentation
bin1011000000111100111111…
…1011010010011100110001
31120212210121111110222220200
42300033033323102130301
53041411312303430301
641431414523425413
72356663620641133
oct260171773223461
946783544428820
1012111001233201
11394a279510272
121437239985269
1369b0a7469070
142dc265b51053
1516007cd8ec86
hexb03cfed2731

12111001233201 has 24 divisors (see below), whose sum is σ = 18843744954216. Its totient is φ = 7451179338240.

The previous prime is 12111001233197. The next prime is 12111001233209. The reversal of 12111001233201 is 10233210011121.

12111001233201 is a `hidden beast` number, since 1 + 211 + 10 + 0 + 123 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1758212352576 + 10352788880625 = 1325976^2 + 3217575^2 .

It is not a de Polignac number, because 12111001233201 - 22 = 12111001233197 is a prime.

It is a super-2 number, since 2×121110012332012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12111001233209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11612490 + ... + 12612371.

It is an arithmetic number, because the mean of its divisors is an integer number (785156039759).

Almost surely, 212111001233201 is an apocalyptic number.

It is an amenable number.

12111001233201 is a deficient number, since it is larger than the sum of its proper divisors (6732743721015).

12111001233201 is a wasteful number, since it uses less digits than its factorization.

12111001233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24229153 (or 24229150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12111001233201 its reverse (10233210011121), we get a palindrome (22344211244322).

The spelling of 12111001233201 in words is "twelve trillion, one hundred eleven billion, one million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 13 39 117 4273 12819 38457 55549 166647 499941 24224861 72674583 218023749 314923193 944769579 2834308737 103512831053 310538493159 931615479477 1345666803689 4037000411067 12111001233201