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12001020211201 = 713757121916109
BaseRepresentation
bin1010111010100011010010…
…0010111111000000000001
31120111021201201210012110111
42232220310202333000001
53033111042133224301
641305105332431321
72346021316452130
oct256506442770001
946437651705414
1012001020211201
11390767105265a
121419a65478541
136908cab85358
142d6bd12ab917
1515c292795551
hexaea348bf001

12001020211201 has 16 divisors (see below), whose sum is σ = 13839760471680. Its totient is φ = 10193620152960.

The previous prime is 12001020211123. The next prime is 12001020211211. The reversal of 12001020211201 is 10211202010021.

It is a cyclic number.

It is not a de Polignac number, because 12001020211201 - 29 = 12001020210689 is a prime.

It is a super-2 number, since 2×120010202112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001020211211) 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, 10410466 + ... + 11505643.

It is an arithmetic number, because the mean of its divisors is an integer number (864985029480).

Almost surely, 212001020211201 is an apocalyptic number.

It is an amenable number.

12001020211201 is a deficient number, since it is larger than the sum of its proper divisors (1838740260479).

12001020211201 is a wasteful number, since it uses less digits than its factorization.

12001020211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21916824.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001020211201 its reverse (10211202010021), we get a palindrome (22212222221222).

The spelling of 12001020211201 in words is "twelve trillion, one billion, twenty million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 137 571 959 3997 78227 547589 21916109 153412763 3002506933 12514098239 21017548531 87598687673 1714431458743 12001020211201