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122122341042 = 231353157188159
BaseRepresentation
bin111000110111100001…
…1110000101010110010
3102200012220201201002020
41301233003300222302
54000101304403132
6132034025332310
711552206525422
oct1615703605262
9380186651066
10122122341042
1147878972389
121b802637096
13b692ac8080
145ca716a482
15329b48252c
hex1c6f0f0ab2

122122341042 has 64 divisors (see below), whose sum is σ = 269704028160. Its totient is φ = 36632104704.

The previous prime is 122122340999. The next prime is 122122341059. The reversal of 122122341042 is 240143221221.

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 31 ways as a sum of consecutive naturals, for example, 554959 + ... + 743117.

It is an arithmetic number, because the mean of its divisors is an integer number (4214125440).

Almost surely, 2122122341042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122341042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134852014080).

122122341042 is an abundant number, since it is smaller than the sum of its proper divisors (147581687118).

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

122122341042 is a wasteful number, since it uses less digits than its factorization.

122122341042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188387.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122122341042 its reverse (240143221221), we get a palindrome (362265562263).

The spelling of 122122341042 in words is "one hundred twenty-two billion, one hundred twenty-two million, three hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 157 159 314 318 471 689 942 1378 2041 2067 4082 4134 6123 8321 12246 16642 24963 49926 108173 188159 216346 324519 376318 564477 649038 1128954 2446067 4892134 7338201 9972427 14676402 19944854 29540963 29917281 59081926 59834562 88622889 129641551 177245778 259283102 384032519 388924653 768065038 777849306 1152097557 1565671039 2304195114 3131342078 4697013117 9394026234 20353723507 40707447014 61061170521 122122341042