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12162126500 = 225334969697
BaseRepresentation
bin10110101001110101…
…10101001010100100
31011101121012001002122
423110322311022210
5144402001022000
65330500325112
7610250240516
oct132472651244
934347161078
1012162126500
115181226717
1224350a3798
1311ba91b174
14835381bb6
154b2ae8085
hex2d4eb52a4

12162126500 has 48 divisors (see below), whose sum is σ = 26638575600. Its totient is φ = 4850841600.

The previous prime is 12162126481. The next prime is 12162126511. The reversal of 12162126500 is 562126121.

12162126500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 109160704 + 12052965796 = 10448^2 + 109786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12162126500.

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, 139652 + ... + 209348.

It is an arithmetic number, because the mean of its divisors is an integer number (554970325).

Almost surely, 212162126500 is an apocalyptic number.

12162126500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319287800).

12162126500 is an abundant number, since it is smaller than the sum of its proper divisors (14476449100).

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

12162126500 is a wasteful number, since it uses less digits than its factorization.

12162126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70065 (or 70053 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 12162126500 in words is "twelve billion, one hundred sixty-two million, one hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 349 500 698 1396 1745 3490 6980 8725 17450 34900 43625 69697 87250 139394 174500 278788 348485 696970 1393940 1742425 3484850 6969700 8712125 17424250 24324253 34848500 48648506 97297012 121621265 243242530 486485060 608106325 1216212650 2432425300 3040531625 6081063250 12162126500