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12213200133222 = 2311735876416737
BaseRepresentation
bin1011000110111001101101…
…1101001001110001100110
31121020120101220202000220220
42301232123131021301212
53100100113213230342
641550400000505210
72400242325154644
oct261563335116146
947216356660826
1012213200133222
113989653094510
12145300001b206
136a79136b357a
1430319cc44194
15162a6017a5ec
hexb1b9b749c66

12213200133222 has 128 divisors (see below), whose sum is σ = 27104261119488. Its totient is φ = 3637827993600.

The previous prime is 12213200133217. The next prime is 12213200133229. The reversal of 12213200133222 is 22233100231221.

It is a junction number, because it is equal to n+sod(n) for n = 12213200133192 and 12213200133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213200133229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1812851038 + ... + 1812857774.

It is an arithmetic number, because the mean of its divisors is an integer number (211752039996).

Almost surely, 212213200133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213200133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552130559744).

12213200133222 is an abundant number, since it is smaller than the sum of its proper divisors (14891060986266).

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

12213200133222 is a wasteful number, since it uses less digits than its factorization.

12213200133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12213200133222 its reverse (22233100231221), we get a palindrome (34446300364443).

The spelling of 12213200133222 in words is "twelve trillion, two hundred thirteen billion, two hundred million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 587 641 803 1174 1282 1606 1761 1923 2409 3522 3846 4818 6457 6737 7051 12914 13474 14102 19371 20211 21153 38742 40422 42306 42851 46793 74107 85702 93586 128553 140379 148214 222321 257106 280758 376267 444642 471361 491801 514723 752534 942722 983602 1029446 1128801 1414083 1475403 1544169 2257602 2828166 2950806 3088338 3954619 4138937 4318417 5409811 7909238 8277874 8636834 10819622 11863857 12416811 12955251 16229433 23727714 24833622 25910502 27467491 32458866 43500809 47502587 54934982 82402473 87001618 95005174 130502427 142507761 164804946 261004854 285015522 288687187 302142401 315244441 577374374 604284802 630488882 866061561 906427203 945733323 1732123122 1812854406 1891466646 2534910779 3175559057 3467688851 5069821558 6351118114 6935377702 7604732337 9526677171 10403066553 15209464674 19053354342 20806133106 27884018569 55768037138 83652055707 167304111414 185048486867 370096973734 555145460601 1110290921202 2035533355537 4071066711074 6106600066611 12213200133222