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12701921841 = 3271767177013
BaseRepresentation
bin10111101010001011…
…11111001000110001
31012210012220111002200
423311011333020301
5202003142444331
65500222133413
7626523361050
oct136505771061
935705814080
1012701921841
1154289a3974
122565a21269
1312756c78ab
14886d36397
154e51c25e6
hex2f517f231

12701921841 has 48 divisors (see below), whose sum is σ = 22533174144. Its totient is φ = 6729288192.

The previous prime is 12701921821. The next prime is 12701921851. The reversal of 12701921841 is 14812910721.

It is not a de Polignac number, because 12701921841 - 211 = 12701919793 is a prime.

It is a super-2 number, since 2×127019218412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12701921796 and 12701921805.

It is not an unprimeable number, because it can be changed into a prime (12701921821) 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 47 ways as a sum of consecutive naturals, for example, 16750 + ... + 160263.

It is an arithmetic number, because the mean of its divisors is an integer number (469441128).

Almost surely, 212701921841 is an apocalyptic number.

It is an amenable number.

12701921841 is a deficient number, since it is larger than the sum of its proper divisors (9831252303).

12701921841 is a wasteful number, since it uses less digits than its factorization.

12701921841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177110 (or 177107 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12701921841 in words is "twelve billion, seven hundred one million, nine hundred twenty-one thousand, eight hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 67 119 153 201 357 469 603 1071 1139 1407 3417 4221 7973 10251 23919 71757 177013 531039 1239091 1593117 3009221 3717273 9027663 11151819 11859871 21064547 27082989 35579613 63193641 83019097 106738839 189580923 201617807 249057291 604853421 747171873 1411324649 1814560263 4233973947 12701921841