Search a number
-
+
12111195888 = 2432112695087
BaseRepresentation
bin10110100011110001…
…00010111011110000
31011021001100111102200
423101320202323300
5144300431232023
65321440543200
7606061316001
oct132170427360
934231314380
1012111195888
1151554aa800
122420021b00
1311b01c82cc
1482c6c51a8
154ad3d7743
hex2d1e22ef0

12111195888 has 90 divisors (see below), whose sum is σ = 37256021712. Its totient is φ = 3670054080.

The previous prime is 12111195881. The next prime is 12111195959. The reversal of 12111195888 is 88859111121.

12111195888 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 not an unprimeable number, because it can be changed into a prime (12111195881) 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 17 ways as a sum of consecutive naturals, for example, 330120 + ... + 364967.

Almost surely, 212111195888 is an apocalyptic number.

12111195888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12111195888 is an abundant number, since it is smaller than the sum of its proper divisors (25144825824).

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

12111195888 is a wasteful number, since it uses less digits than its factorization.

12111195888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695123 (or 695103 counting only the distinct ones).

The product of its digits is 46080, while the sum is 45.

The spelling of 12111195888 in words is "twelve billion, one hundred eleven million, one hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 695087 1390174 2085261 2780348 4170522 5560696 6255783 7645957 8341044 11121392 12511566 15291914 16682088 22937871 25023132 30583828 33364176 45875742 50046264 61167656 68813613 84105527 91751484 100092528 122335312 137627226 168211054 183502968 252316581 275254452 336422108 367005936 504633162 550508904 672844216 756949743 1009266324 1101017808 1345688432 1513899486 2018532648 3027798972 4037065296 6055597944 12111195888