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12606122160621 = 3211832441628493
BaseRepresentation
bin1011011101110001011101…
…1011101111000111101101
31122122010121022212010211100
42313130113123233013231
53123014314233114441
642451101135313313
72440522313246223
oct267342733570755
948563538763740
1012606122160621
114020254356280
1214b719897b839
137059a1818332
143181d4d90b13
1516cdaa4a6cb6
hexb77176ef1ed

12606122160621 has 48 divisors (see below), whose sum is σ = 20111787888192. Its totient is φ = 7544920761600.

The previous prime is 12606122160589. The next prime is 12606122160629.

12606122160621 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 1 + 2 + 21 + 6 + 0 + 621 = 666.

12606122160621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12606122160621 - 25 = 12606122160589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606122160629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19743451 + ... + 20371943.

It is an arithmetic number, because the mean of its divisors is an integer number (418995581004).

Almost surely, 212606122160621 is an apocalyptic number.

12606122160621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12606122160621 is a deficient number, since it is larger than the sum of its proper divisors (7505665727571).

12606122160621 is a wasteful number, since it uses less digits than its factorization.

12606122160621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631034 (or 631031 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12606122160621 in words is "twelve trillion, six hundred six billion, one hundred twenty-two million, one hundred sixty thousand, six hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 249 747 913 2441 2739 7323 8217 21969 26851 80553 202603 241659 607809 628493 1823427 1885479 2228633 5656437 6685899 6913423 20057697 20740269 52164919 62220807 156494757 469484271 573814109 1534151413 1721442327 4602454239 5164326981 13807362717 16875665543 50626996629 127334567279 151880989887 382003701837 1146011105511 1400680240069 4202040720207 12606122160621