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1223223212001 = 3761113131251257
BaseRepresentation
bin10001110011001101110…
…010001111011111100001
311022221100112021111212110
4101303031302033133201
5130020130120241001
62333535130345533
7154242416514330
oct21631562173741
94287315244773
101223223212001
11431847682a8a
1217909ab8b2a9
138b47099a57b
14432c091bd17
1521c438dc3d6
hex11ccdc8f7e1

1223223212001 has 128 divisors (see below), whose sum is σ = 1941067763712. Its totient is φ = 670924800000.

The previous prime is 1223223211993. The next prime is 1223223212009. The reversal of 1223223212001 is 1002123223221.

It is an interprime number because it is at equal distance from previous prime (1223223211993) and next prime (1223223212009).

It is not a de Polignac number, because 1223223212001 - 23 = 1223223211993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1223223212009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4759623265 + ... + 4759623521.

It is an arithmetic number, because the mean of its divisors is an integer number (15164591904).

Almost surely, 21223223212001 is an apocalyptic number.

It is an amenable number.

1223223212001 is a deficient number, since it is larger than the sum of its proper divisors (717844551711).

1223223212001 is a wasteful number, since it uses less digits than its factorization.

1223223212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1223223212001 its reverse (1002123223221), we get a palindrome (2225346435222).

The spelling of 1223223212001 in words is "one trillion, two hundred twenty-three billion, two hundred twenty-three million, two hundred twelve thousand, one".

Divisors: 1 3 7 21 61 113 131 183 251 257 339 393 427 753 771 791 917 1281 1757 1799 2373 2751 5271 5397 6893 7991 14803 15311 15677 20679 23973 28363 29041 32881 33667 44409 45933 47031 48251 55937 64507 85089 87123 98643 101001 103621 107177 109739 144753 167811 193521 198541 203287 230167 235669 310863 321531 329217 451549 595623 609861 690501 707007 902983 1354647 1730143 1771501 2005741 2053687 2708949 3715553 3804371 3934927 5190429 5314503 6017223 6161061 6320881 7289291 8450417 11146659 11413113 11804781 12111001 12400507 14040187 14375809 18962643 21867873 25351251 26008871 26630597 27544489 36333003 37201521 42120561 43127427 51025037 59152919 78026613 79891791 82633467 153075111 177458757 226648733 232066631 444646751 515475437 679946199 696199893 954897121 1333940253 1546426311 1586541131 1624466417 2864691363 3112527257 3608328059 4759623393 4873399251 6684279847 9337581771 10824984177 20052839541 58248724381 174746173143 407741070667 1223223212001