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12210000211220 = 2257212459183889
BaseRepresentation
bin1011000110101101110010…
…1110011010110100010100
31121020021010220112011011012
42301223130232122310110
53100022040023224340
641545110251231352
72400100121241200
oct261533456326424
947207126464135
1012210000211220
113988260894779
121452468448558
136a75237713b6
14302d77c79b00
15162924295565
hexb1adcb9ad14

12210000211220 has 36 divisors (see below), whose sum is σ = 29827286232660. Its totient is φ = 4186285786368.

The previous prime is 12210000211193. The next prime is 12210000211319. The reversal of 12210000211220 is 2211200001221.

It can be written as a sum of positive squares in 2 ways, for example, as 1656312372484 + 10553687838736 = 1286978^2 + 3248644^2 .

It is a super-2 number, since 2×122100002112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12210000211195 and 12210000211204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6229590965 + ... + 6229592924.

It is an arithmetic number, because the mean of its divisors is an integer number (828535728685).

Almost surely, 212210000211220 is an apocalyptic number.

12210000211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210000211220 is an abundant number, since it is smaller than the sum of its proper divisors (17617286021440).

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

12210000211220 is a wasteful number, since it uses less digits than its factorization.

12210000211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459183912 (or 12459183903 counting only the distinct ones).

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

Adding to 12210000211220 its reverse (2211200001221), we get a palindrome (14421200212441).

The spelling of 12210000211220 in words is "twelve trillion, two hundred ten billion, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 12459183889 24918367778 49836735556 62295919445 87214287223 124591838890 174428574446 249183677780 348857148892 436071436115 610500010561 872142872230 1221000021122 1744285744460 2442000042244 3052500052805 6105000105610 12210000211220