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12011002100001 = 3214918089495149
BaseRepresentation
bin1010111011001000011110…
…0000110111100100100001
31120112020111101110200200200
42232302013200313210201
53033242013014200001
641313440031135413
72346523554222552
oct256620740674441
946466441420620
1012011002100001
113910923617433
12141b990374569
1369182bba1028
142d749ac78329
1515c678c77086
hexaec87837921

12011002100001 has 24 divisors (see below), whose sum is σ = 17466663825000. Its totient is φ = 7953138477312.

The previous prime is 12011002099939. The next prime is 12011002100021. The reversal of 12011002100001 is 10000120011021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 280370250000 + 11730631850001 = 529500^2 + 3425001^2 .

It is not a de Polignac number, because 12011002100001 - 241 = 9811978844449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12011002100021) 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, 24009775 + ... + 24504923.

It is an arithmetic number, because the mean of its divisors is an integer number (727777659375).

Almost surely, 212011002100001 is an apocalyptic number.

It is an amenable number.

12011002100001 is a deficient number, since it is larger than the sum of its proper divisors (5455661724999).

12011002100001 is a wasteful number, since it uses less digits than its factorization.

12011002100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513393 (or 513390 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011002100001 its reverse (10000120011021), we get a palindrome (22011122111022).

The spelling of 12011002100001 in words is "twelve trillion, eleven billion, two million, one hundred thousand, one".

Divisors: 1 3 9 149 447 1341 18089 54267 162801 495149 1485447 2695261 4456341 8085783 24257349 73777201 221331603 663994809 8956750261 26870250783 80610752349 1334555788889 4003667366667 12011002100001