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122075174221 = 71113237713571
BaseRepresentation
bin111000110110000111…
…1110101010101001101
3102200002121222101100221
41301230033311111031
54000002221033341
6132025222351341
711551064601010
oct1615417652515
9380077871327
10122075174221
1147854287240
121b7aa88b551
13b6860c2400
145ca0bad377
153297266ed1
hex1c6c3f554d

122075174221 has 96 divisors (see below), whose sum is σ = 171691923456. Its totient is φ = 84206304000.

The previous prime is 122075174209. The next prime is 122075174227. The reversal of 122075174221 is 122471570221.

It is not a de Polignac number, because 122075174221 - 219 = 122074649933 is a prime.

It is a super-2 number, since 2×1220751742212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122075174227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34183366 + ... + 34186936.

It is an arithmetic number, because the mean of its divisors is an integer number (1788457536).

Almost surely, 2122075174221 is an apocalyptic number.

122075174221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122075174221 is a deficient number, since it is larger than the sum of its proper divisors (49616749235).

122075174221 is a wasteful number, since it uses less digits than its factorization.

122075174221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The spelling of 122075174221 in words is "one hundred twenty-two billion, seventy-five million, one hundred seventy-four thousand, two hundred twenty-one".

Divisors: 1 7 11 13 37 71 77 91 143 169 259 407 481 497 781 923 1001 1183 1859 2627 2849 3367 3571 5291 5467 6253 6461 10153 11999 13013 18389 24997 28897 34151 37037 39281 43771 46423 68783 71071 83993 131989 132127 202279 239057 253541 274967 324961 375661 443963 481481 510653 603499 923923 924889 1453397 1717651 1774787 2629627 2788951 3107741 3296033 3574571 4224493 4883593 6638489 9381017 10173779 12023557 18894161 19522657 22329463 23072231 34185151 36256363 42848429 46469423 65667119 103191187 121953221 132259127 156306241 245624093 253794541 299939003 471332719 722338309 853672547 1341485431 1585391873 1719368651 3299329033 9390398017 11097743111 17439310603 122075174221