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122102412240432 = 24313972017288069
BaseRepresentation
bin11011110000110100101110…
…111010000110011000110000
3121000022212200001022201221110
4123300310232322012120300
5112001011220013143212
61111405023535353320
734501415413314531
oct3360645672063060
9530285601281843
10122102412240432
11359a6384563028
1211840322982840
135319292183980
142221b070a8688
15e1b26d510a3c
hex6f0d2ee86630

122102412240432 has 80 divisors (see below), whose sum is σ = 343197184772960. Its totient is φ = 37182653669376.

The previous prime is 122102412240353. The next prime is 122102412240433. The reversal of 122102412240432 is 234042214201221.

It is a self number, because there is not a number n which added to its sum of digits gives 122102412240432.

It is not an unprimeable number, because it can be changed into a prime (122102412240433) 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 15 ways as a sum of consecutive naturals, for example, 1008583507 + ... + 1008704562.

It is an arithmetic number, because the mean of its divisors is an integer number (4289964809662).

Almost surely, 2122102412240432 is an apocalyptic number.

122102412240432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122102412240432 is an abundant number, since it is smaller than the sum of its proper divisors (221094772532528).

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

122102412240432 is a wasteful number, since it uses less digits than its factorization.

122102412240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017288190 (or 2017288184 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 122102412240432 its reverse (234042214201221), we get a palindrome (356144626441653).

The spelling of 122102412240432 in words is "one hundred twenty-two trillion, one hundred two billion, four hundred twelve million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 60528 2017288069 4034576138 6051864207 8069152276 12103728414 16138304552 24207456828 26224744897 32276609104 48414913656 52449489794 78674234691 96829827312 104898979588 157348469382 195676942693 209797959176 314696938764 391353885386 419595918352 587030828079 629393877528 782707770772 1174061656158 1258787755056 1565415541544 2348123312316 2543800255009 3130831083088 4696246624632 5087600510018 7631400765027 9392493249264 10175201020036 15262801530054 20350402040072 30525603060108 40700804080144 61051206120216 122102412240432