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12078621082008 = 23321312904509703
BaseRepresentation
bin1010111111000100010111…
…1010110100000110011000
31120202201000212111212220200
42233301011322310012120
53040344003444111013
641404501504422200
72354436330125025
oct257610572640630
946681025455820
1012078621082008
113937572791438
121430b01917960
13698016c479a0
142da87357254c
1515e2d5310e73
hexafc45eb4198

12078621082008 has 48 divisors (see below), whose sum is σ = 35229311491920. Its totient is φ = 3716498794176.

The previous prime is 12078621081979. The next prime is 12078621082009. The reversal of 12078621082008 is 80028012687021.

It is a happy number.

12078621082008 is a `hidden beast` number, since 12 + 0 + 7 + 8 + 621 + 0 + 8 + 2 + 0 + 0 + 8 = 666.

12078621082008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120786210820082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12078621082009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6452253916 + ... + 6452255787.

It is an arithmetic number, because the mean of its divisors is an integer number (733943989415).

Almost surely, 212078621082008 is an apocalyptic number.

12078621082008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12078621082008 is an abundant number, since it is smaller than the sum of its proper divisors (23150690409912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12078621082008 is a wasteful number, since it uses less digits than its factorization.

12078621082008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12904509728 (or 12904509721 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12078621082008 in words is "twelve trillion, seventy-eight billion, six hundred twenty-one million, eighty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 12904509703 25809019406 38713529109 51618038812 77427058218 103236077624 116140587327 154854116436 167758626139 232281174654 309708232872 335517252278 464562349308 503275878417 671034504556 929124698616 1006551756834 1342069009112 1509827635251 2013103513668 3019655270502 4026207027336 6039310541004 12078621082008