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12212221000 = 235372249229
BaseRepresentation
bin10110101111110011…
…11011010001001000
31011112002110002211111
423113321323101020
5200002312033000
65335450140104
7611426110600
oct132771732110
934462402744
1012212221000
1151a7531431
122449a21634
1311c810a595
1483bca1c00
154b71e0cba
hex2d7e7b448

12212221000 has 96 divisors (see below), whose sum is σ = 33242297400. Its totient is φ = 4187030400.

The previous prime is 12212220989. The next prime is 12212221039. The reversal of 12212221000 is 12221221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7434923076 + 4777297924 = 86226^2 + 69118^2 .

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, 75615 + ... + 173614.

Almost surely, 212212221000 is an apocalyptic number.

12212221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212221000 is an abundant number, since it is smaller than the sum of its proper divisors (21030076400).

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

12212221000 is a wasteful number, since it uses less digits than its factorization.

12212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249264 (or 249243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212221000 its reverse (12221221), we get a palindrome (12224442221).

The spelling of 12212221000 in words is "twelve billion, two hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 249229 498458 996916 1246145 1744603 1993832 2492290 3489206 4984580 6230725 6978412 8723015 9969160 12212221 12461450 13956824 17446030 24424442 24922900 31153625 34892060 43615075 48848884 49845800 61061105 62307250 69784120 87230150 97697768 122122210 124614500 174460300 218075375 244244420 249229000 305305525 348920600 436150750 488488840 610611050 872301500 1221222100 1526527625 1744603000 2442444200 3053055250 6106110500 12212221000