Search a number
-
+
12101112020001 = 333765963181457
BaseRepresentation
bin1011000000011000001001…
…1110111011110000100001
31120211212002022011220201010
42300012002132323300201
53041231034134120001
641423101335331133
72356163560005564
oct260060236736041
946755068156633
1012101112020001
113946064294aa4
121435339b20aa9
1369a18c6cb114
142db9a85ca4db
1515eb9eab78d6
hexb01827bbc21

12101112020001 has 16 divisors (see below), whose sum is σ = 16183028332224. Its totient is φ = 8043302851584.

The previous prime is 12101112019999. The next prime is 12101112020047. The reversal of 12101112020001 is 10002021110121.

It is not a de Polignac number, because 12101112020001 - 21 = 12101112019999 is a prime.

It is a super-2 number, since 2×121011120200012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12101112021001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66597865 + ... + 66779321.

It is an arithmetic number, because the mean of its divisors is an integer number (1011439270764).

Almost surely, 212101112020001 is an apocalyptic number.

It is an amenable number.

12101112020001 is a deficient number, since it is larger than the sum of its proper divisors (4081916312223).

12101112020001 is a wasteful number, since it uses less digits than its factorization.

12101112020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247760.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101112020001 its reverse (10002021110121), we get a palindrome (22103133130122).

The spelling of 12101112020001 in words is "twelve trillion, one hundred one billion, one hundred twelve million, twenty thousand, one".

Divisors: 1 3 337 1011 65963 181457 197889 544371 22229531 61151009 66688593 183453027 11969448091 35908344273 4033704006667 12101112020001