Search a number
-
+
12000121002 = 23533174597
BaseRepresentation
bin10110010110100001…
…10101000010101010
31010222022100022100000
423023100311002222
5144034012333002
65302432123430
7603242226342
oct131320650252
933868308300
1012000121002
1150a8834581
1223aa996576
1311931a791c
1481ba4dd22
154a379661c
hex2cb4350aa

12000121002 has 48 divisors (see below), whose sum is σ = 27045057312. Its totient is φ = 3987902160.

The previous prime is 12000120931. The next prime is 12000121031. The reversal of 12000121002 is 20012100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123568 + ... + 198164.

It is an arithmetic number, because the mean of its divisors is an integer number (563438694).

Almost surely, 212000121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522528656).

12000121002 is an abundant number, since it is smaller than the sum of its proper divisors (15044936310).

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

12000121002 is an equidigital number, since it uses as much as digits as its factorization.

12000121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74945 (or 74933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000121002 its reverse (20012100021), we get a palindrome (32012221023).

The spelling of 12000121002 in words is "twelve billion, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 331 486 662 993 1986 2979 5958 8937 17874 26811 53622 74597 80433 149194 160866 223791 447582 671373 1342746 2014119 4028238 6042357 12084714 18127071 24691607 36254142 49383214 74074821 148149642 222224463 444448926 666673389 1333346778 2000020167 4000040334 6000060501 12000121002