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12211212200 = 23521117326503
BaseRepresentation
bin10110101111101100…
…00100111110101000
31011112000112212000112
423113312010332220
5200002032242300
65335412353452
7611414406515
oct132766047650
934460485015
1012211212200
1151a6a02510
122449615888
1311c7b46365
1483babc30c
154b7091e35
hex2d7d84fa8

12211212200 has 96 divisors (see below), whose sum is σ = 32794061760. Its totient is φ = 4179225600.

The previous prime is 12211212161. The next prime is 12211212257. The reversal of 12211212200 is 221211221.

It is a super-2 number, since 2×122112122002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125852 + ... + 200651.

It is an arithmetic number, because the mean of its divisors is an integer number (341604810).

Almost surely, 212211212200 is an apocalyptic number.

12211212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212200 is an abundant number, since it is smaller than the sum of its proper divisors (20582849560).

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

12211212200 is a wasteful number, since it uses less digits than its factorization.

12211212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326547 (or 326538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211212200 its reverse (221211221), we get a palindrome (12432423421).

The spelling of 12211212200 in words is "twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 326503 653006 1306012 1632515 2612024 3265030 3591533 5550551 6530060 7183066 8162575 11101102 13060120 14366132 16325150 17957665 22202204 27752755 28732264 32650300 35915330 44404408 55505510 61056061 65300600 71830660 89788325 111011020 122112122 138763775 143661320 179576650 222022040 244224244 277527550 305280305 359153300 488448488 555055100 610560610 718306600 1110110200 1221121220 1526401525 2442242440 3052803050 6105606100 12211212200