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12210221000 = 235312210221
BaseRepresentation
bin10110101111100100…
…10010111111001000
31011111221200111100102
423113302102333020
5200001304033000
65335335224532
7611403110645
oct132762227710
934457614312
1012210221000
1151a639583a
122449218148
1311c788a153
1483b900dcc
154b6e483d5
hex2d7c92fc8

12210221000 has 32 divisors (see below), whose sum is σ = 28571919480. Its totient is φ = 4884088000.

The previous prime is 12210220993. The next prime is 12210221011. The reversal of 12210221000 is 12201221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2037077956 + 10173143044 = 45134^2 + 100862^2 .

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 7 ways as a sum of consecutive naturals, for example, 6104111 + ... + 6106110.

Almost surely, 212210221000 is an apocalyptic number.

12210221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210221000 is an abundant number, since it is smaller than the sum of its proper divisors (16361698480).

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

12210221000 is a wasteful number, since it uses less digits than its factorization.

12210221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210242 (or 12210228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12210221000 its reverse (12201221), we get a palindrome (12222422221).

The spelling of 12210221000 in words is "twelve billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12210221 24420442 48840884 61051105 97681768 122102210 244204420 305255525 488408840 610511050 1221022100 1526277625 2442044200 3052555250 6105110500 12210221000