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122123230020 = 2232511112954631
BaseRepresentation
bin111000110111100011…
…1001001101101000100
3102200012222101212112100
41301233013021231010
54000102021330040
6132034100352100
711552220220251
oct1615707115504
9380188355470
10122123230020
114787941a280
121b8029a5630
13b6930498ac
145ca731c428
15329b5aab30
hex1c6f1c9b44

122123230020 has 144 divisors (see below), whose sum is σ = 404482216320. Its totient is φ = 29578867200.

The previous prime is 122123230001. The next prime is 122123230039. The reversal of 122123230020 is 20032321221.

It is an interprime number because it is at equal distance from previous prime (122123230001) and next prime (122123230039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122123229975 and 122123230002.

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, 2208105 + ... + 2262735.

It is an arithmetic number, because the mean of its divisors is an integer number (2808904280).

Almost surely, 2122123230020 is an apocalyptic number.

122123230020 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 122123230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202241108160).

122123230020 is an abundant number, since it is smaller than the sum of its proper divisors (282358986300).

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

122123230020 is a wasteful number, since it uses less digits than its factorization.

122123230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55786 (or 55781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122123230020 its reverse (20032321221), we get a palindrome (142155551241).

The spelling of 122123230020 in words is "one hundred twenty-two billion, one hundred twenty-three million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1129 1980 2258 3387 4516 5645 6774 10161 11290 12419 13548 16935 20322 22580 24838 33870 37257 40644 49676 50805 54631 62095 67740 74514 101610 109262 111771 124190 149028 163893 186285 203220 218524 223542 248380 273155 327786 372570 447084 491679 546310 558855 600941 655572 745140 819465 983358 1092620 1117710 1201882 1638930 1802823 1966716 2235420 2403764 2458395 3004705 3277860 3605646 4916790 5408469 6009410 7211292 9014115 9833580 10816938 12018820 18028230 21633876 27042345 36056460 54084690 61678399 108169380 123356798 185035197 246713596 308391995 370070394 555105591 616783990 678462389 740140788 925175985 1110211182 1233567980 1356924778 1850351970 2035387167 2220422364 2713849556 2775527955 3392311945 3700703940 4070774334 5551055910 6106161501 6784623890 8141548668 10176935835 11102111820 12212323002 13569247780 20353871670 24424646004 30530807505 40707743340 61061615010 122123230020