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12159872116 = 2272395319813
BaseRepresentation
bin10110101001100100…
…01110110001110100
31011101102221111122221
423110302032301310
5144400411401431
65330340132124
7610222131130
oct132462166164
934342844587
1012159872116
11517aa26997
122434397044
1311ba30c002
14834d563c0
154b2800111
hex2d4c8ec74

12159872116 has 48 divisors (see below), whose sum is σ = 25405035264. Its totient is φ = 4979310336.

The previous prime is 12159872099. The next prime is 12159872129. The reversal of 12159872116 is 61127895121.

12159872116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 603826 + ... + 623638.

It is an arithmetic number, because the mean of its divisors is an integer number (529271568).

Almost surely, 212159872116 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 12159872116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702517632).

12159872116 is an abundant number, since it is smaller than the sum of its proper divisors (13245163148).

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

12159872116 is a wasteful number, since it uses less digits than its factorization.

12159872116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20800 (or 20798 counting only the distinct ones).

The product of its digits is 60480, while the sum is 43.

The spelling of 12159872116 in words is "twelve billion, one hundred fifty-nine million, eight hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 953 1906 3812 6671 13342 19813 21919 26684 39626 43838 79252 87676 138691 153433 277382 306866 455699 554764 613732 911398 1822796 3189893 6379786 12759572 18881789 37763578 75527156 132172523 264345046 434281147 528690092 868562294 1737124588 3039968029 6079936058 12159872116