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12210012221200 = 245236467837059
BaseRepresentation
bin1011000110101101110101…
…1100001110111100010000
31121020021011202010022202021
42301223131130032330100
53100022101112034300
641545111400501224
72400100325311543
oct261533534167420
947207152108667
1012210012221200
113988267647a82
12145247047a814
136a75260b7ab1
14302d796c485a
15162925368d1a
hexb1add70ef10

12210012221200 has 60 divisors (see below), whose sum is σ = 29335393820880. Its totient is φ = 4883865124480.

The previous prime is 12210012221131. The next prime is 12210012221269. The reversal of 12210012221200 is 212221001221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12210012221131) and next prime (12210012221269).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 14168271 + ... + 15005329.

It is an arithmetic number, because the mean of its divisors is an integer number (488923230348).

Almost surely, 212210012221200 is an apocalyptic number.

12210012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210012221200 is an abundant number, since it is smaller than the sum of its proper divisors (17125381599680).

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

12210012221200 is a wasteful number, since it uses less digits than its factorization.

12210012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873544 (or 873533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12210012221200 its reverse (212221001221), we get a palindrome (12422233222421).

The spelling of 12210012221200 in words is "twelve trillion, two hundred ten billion, twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 36467 72934 145868 182335 291736 364670 583472 729340 837059 911675 1458680 1674118 1823350 2917360 3348236 3646700 4185295 6696472 7293400 8370590 13392944 14586800 16741180 20926475 33482360 41852950 66964720 83705900 167411800 334823600 30525030553 61050061106 122100122212 152625152765 244200244424 305250305530 488400488848 610500611060 763125763825 1221001222120 1526251527650 2442002444240 3052503055300 6105006110600 12210012221200