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12223110222100 = 22526111511740911
BaseRepresentation
bin1011000111011110101000…
…1001001001000100010100
31121021111222120022201011201
42301313222021021010110
53100230412204101400
641555115212242244
72401043031424231
oct261675211110424
947244876281151
1012223110222100
113992879078a08
121454b06a70384
136a883288039b
1430385d080788
15162e401c806a
hexb1dea249114

12223110222100 has 72 divisors (see below), whose sum is σ = 26982409015296. Its totient is φ = 4804911600000.

The previous prime is 12223110222047. The next prime is 12223110222131. The reversal of 12223110222100 is 122201132221.

It is a super-2 number, since 2×122231102221002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 6150645 + ... + 7891555.

It is an arithmetic number, because the mean of its divisors is an integer number (374755680768).

Almost surely, 212223110222100 is an apocalyptic number.

12223110222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491204507648).

12223110222100 is an abundant number, since it is smaller than the sum of its proper divisors (14759298793196).

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

12223110222100 is a wasteful number, since it uses less digits than its factorization.

12223110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742137 (or 1742130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12223110222100 its reverse (122201132221), we get a palindrome (12345311354321).

The spelling of 12223110222100 in words is "twelve trillion, two hundred twenty-three billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1151 1220 1525 2302 3050 4604 5755 6100 11510 23020 28775 57550 70211 115100 140422 280844 351055 702110 1404220 1740911 1755275 3481822 3510550 6963644 7021100 8704555 17409110 34818220 43522775 87045550 106195571 174091100 212391142 424782284 530977855 1061955710 2003788561 2123911420 2654889275 4007577122 5309778550 8015154244 10018942805 10619557100 20037885610 40075771220 50094714025 100189428050 122231102221 200378856100 244462204442 488924408884 611155511105 1222311022210 2444622044420 3055777555525 6111555111050 12223110222100