Search a number
-
+
12120650984 = 23135310720551
BaseRepresentation
bin10110100100111001…
…00111010011101000
31011021201010212101102
423102130213103220
5144310341312414
65322415340532
7606234555611
oct132234472350
934251125342
1012120650984
11515a878532
122423221748
1311b2158b40
1482da66c08
154ae153ede
hex2d27274e8

12120650984 has 64 divisors (see below), whose sum is σ = 25170445440. Its totient is φ = 5437036800.

The previous prime is 12120650933. The next prime is 12120650987. The reversal of 12120650984 is 48905602121.

12120650984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12120650987) by changing a digit.

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, 579509 + ... + 600059.

It is an arithmetic number, because the mean of its divisors is an integer number (393288210).

Almost surely, 212120650984 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 12120650984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585222720).

12120650984 is an abundant number, since it is smaller than the sum of its proper divisors (13049794456).

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

12120650984 is a wasteful number, since it uses less digits than its factorization.

12120650984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20730 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 12120650984 in words is "twelve billion, one hundred twenty million, six hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 107 212 214 424 428 689 856 1378 1391 2756 2782 5512 5564 5671 11128 11342 20551 22684 41102 45368 73723 82204 147446 164408 267163 294892 534326 589784 1068652 1089203 2137304 2178406 2198957 4356812 4397914 8713624 8795828 14159639 17591656 28319278 28586441 56638556 57172882 113277112 114345764 116544721 228691528 233089442 466178884 932357768 1515081373 3030162746 6060325492 12120650984