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12102860168 = 237678213929
BaseRepresentation
bin10110100010110001…
…01111110110001000
31011020110122222222022
423101120233312020
5144241313011133
65320542144012
7605630420420
oct132130576610
934213588868
1012102860168
115150826a83
122419282008
1311ab56a129
1482b555480
154ac7dc998
hex2d162fd88

12102860168 has 64 divisors (see below), whose sum is σ = 26360553600. Its totient is φ = 5102000640.

The previous prime is 12102860129. The next prime is 12102860171. The reversal of 12102860168 is 86106820121.

12102860168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1100132-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078428 + ... + 3082356.

It is an arithmetic number, because the mean of its divisors is an integer number (411883650).

Almost surely, 212102860168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102860168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180276800).

12102860168 is an abundant number, since it is smaller than the sum of its proper divisors (14257693432).

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

12102860168 is a wasteful number, since it uses less digits than its factorization.

12102860168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 12102860168 in words is "twelve billion, one hundred two million, eight hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 821 938 1642 1876 3284 3752 3929 5747 6568 7858 11494 15716 22988 27503 31432 45976 55006 55007 110012 110014 220024 220028 263243 385049 440056 526486 770098 1052972 1540196 1842701 2105944 3080392 3225709 3685402 6451418 7370804 12902836 14741608 22579963 25805672 45159926 90319852 180639704 216122503 432245006 864490012 1512857521 1728980024 3025715042 6051430084 12102860168