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122330120332 = 227223247310973
BaseRepresentation
bin111000111101101110…
…0011000000010001100
3102200202101200222200111
41301323130120002030
54001013002322312
6132110411005404
711560311603100
oct1617334300214
9380671628614
10122330120332
1147975189002
121b860139864
13b6c6b771b4
145cc69b5900
1532ae8268a7
hex1c7b71808c

122330120332 has 72 divisors (see below), whose sum is σ = 259985297376. Its totient is φ = 50122904832.

The previous prime is 122330120321. The next prime is 122330120351. The reversal of 122330120332 is 233021033221.

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 23 ways as a sum of consecutive naturals, for example, 11142798 + ... + 11153770.

It is an arithmetic number, because the mean of its divisors is an integer number (3610906908).

Almost surely, 2122330120332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129992648688).

122330120332 is an abundant number, since it is smaller than the sum of its proper divisors (137655177044).

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

122330120332 is a wasteful number, since it uses less digits than its factorization.

122330120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13487 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 122330120332 its reverse (233021033221), we get a palindrome (355351153553).

The spelling of 122330120332 in words is "one hundred twenty-two billion, three hundred thirty million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 2473 4508 4946 9892 10973 17311 21946 34622 43892 56879 69244 76811 113758 121177 153622 227516 242354 252379 307244 398153 484708 504758 537677 796306 1009516 1075354 1592612 1766653 2150708 2787071 3533306 5574142 7066612 11148284 12366571 24733142 27136229 49466284 54272458 108544916 189953603 379907206 624133267 759814412 1248266534 1329675221 2496533068 2659350442 4368932869 5318700884 8737865738 17475731476 30582530083 61165060166 122330120332