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122115445140 = 2235132326092
BaseRepresentation
bin111000110111010100…
…1011101000110010100
3102200012102202100200110
41301232221131012110
54000043023221030
6132033221443020
711552064104643
oct1615651350624
9380172670613
10122115445140
1147874a92397
121b800270470
13b691552360
145ca629335a
15329aa6e1b0
hex1c6ea5d194

122115445140 has 144 divisors (see below), whose sum is σ = 384382147968. Its totient is φ = 28741244928.

The previous prime is 122115445103. The next prime is 122115445187. The reversal of 122115445140 is 41544511221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122115445098 and 122115445107.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46804156 + ... + 46806764.

It is an arithmetic number, because the mean of its divisors is an integer number (2669320472).

Almost surely, 2122115445140 is an apocalyptic number.

122115445140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122115445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192191073984).

122115445140 is an abundant number, since it is smaller than the sum of its proper divisors (262266702828).

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

122115445140 is a wasteful number, since it uses less digits than its factorization.

122115445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 122115445140 its reverse (41544511221), we get a palindrome (163659956361).

The spelling of 122115445140 in words is "one hundred twenty-two billion, one hundred fifteen million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2609 2990 3588 4485 5218 5980 7827 8970 10436 13045 15654 17940 26090 31308 33917 39135 52180 60007 67834 78270 101751 120014 135668 156540 169585 180021 203502 240028 300035 339170 360042 407004 508755 600070 678340 720084 780091 900105 1017510 1200140 1560182 1800210 2035020 2340273 3120364 3600420 3900455 4680546 6806881 7800910 9361092 11701365 13613762 15601820 20420643 23402730 27227524 34034405 40841286 46805460 68068810 81682572 88489453 102103215 136137620 156558263 176978906 204206430 265468359 313116526 353957812 408412860 442447265 469674789 530936718 626233052 782791315 884894530 939349578 1061873436 1327341795 1565582630 1769789060 1878699156 2035257419 2348373945 2654683590 3131165260 4070514838 4696747890 5309367180 6105772257 8141029676 9393495780 10176287095 12211544514 20352574190 24423089028 30528861285 40705148380 61057722570 122115445140