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12122122050 = 23252181148829
BaseRepresentation
bin10110100101000100…
…01110011101000010
31011021210220121022100
423102202032131002
5144311230401200
65322511051230
7606253223463
oct132242163502
934253817270
1012122122050
115160692795
122423810b16
1311b25525ac
1482dd2ad6a
154ae344d00
hex2d288e742

12122122050 has 72 divisors (see below), whose sum is σ = 32748255540. Its totient is φ = 3214684800.

The previous prime is 12122122049. The next prime is 12122122081. The reversal of 12122122050 is 5022122121.

It can be written as a sum of positive squares in 6 ways, for example, as 772641 + 12121349409 = 879^2 + 110097^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7036 + ... + 155864.

Almost surely, 212122122050 is an apocalyptic number.

12122122050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122122050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374127770).

12122122050 is an abundant number, since it is smaller than the sum of its proper divisors (20626133490).

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

12122122050 is a wasteful number, since it uses less digits than its factorization.

12122122050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149028 (or 149020 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12122122050 its reverse (5022122121), we get a palindrome (17144244171).

The spelling of 12122122050 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 543 905 1086 1629 1810 2715 3258 4525 5430 8145 9050 13575 16290 27150 40725 81450 148829 297658 446487 744145 892974 1339461 1488290 2232435 2678922 3720725 4464870 6697305 7441450 11162175 13394610 22324350 26938049 33486525 53876098 66973050 80814147 134690245 161628294 242442441 269380490 404070735 484884882 673451225 808141470 1212212205 1346902450 2020353675 2424424410 4040707350 6061061025 12122122050