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122321243142 = 232722318472357
BaseRepresentation
bin111000111101011101…
…0100000110000000110
3102200201202222222110200
41301322322200300012
54001003214240032
6132105452431330
711560143261060
oct1617272406006
9380652888420
10122321243142
114797017548a
121b859178546
13b6c5089717
145cc5744730
1532adb7147c
hex1c7aea0c06

122321243142 has 96 divisors (see below), whose sum is σ = 304542830592. Its totient is φ = 34758614592.

The previous prime is 122321243123. The next prime is 122321243189. The reversal of 122321243142 is 241342123221.

122321243142 is a `hidden beast` number, since 1 + 2 + 2 + 321 + 24 + 314 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51895828 + ... + 51898184.

It is an arithmetic number, because the mean of its divisors is an integer number (3172321152).

Almost surely, 2122321243142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122321243142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152271415296).

122321243142 is an abundant number, since it is smaller than the sum of its proper divisors (182221587450).

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

122321243142 is a wasteful number, since it uses less digits than its factorization.

122321243142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4439 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122321243142 its reverse (241342123221), we get a palindrome (363663366363).

The spelling of 122321243142 in words is "one hundred twenty-two billion, three hundred twenty-one million, two hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 1847 2007 2357 3122 3694 4014 4683 4714 5541 7071 9366 11082 12929 14049 14142 16499 16623 21213 25858 28098 32998 33246 38787 42426 49497 77574 98994 116361 148491 232722 296982 411881 525611 823762 1051222 1235643 1576833 2471286 2883167 3153666 3679277 3706929 4353379 4730499 5766334 7358554 7413858 8649501 8706758 9460998 11037831 13060137 17299002 22075662 25948503 26120274 30473653 33113493 39180411 51897006 60947306 66226986 78360822 91420959 182841918 274262877 548525754 970803517 1941607034 2912410551 5824821102 6795624619 8737231653 13591249238 17474463306 20386873857 40773747714 61160621571 122321243142