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13210222122120 = 2335674633548731
BaseRepresentation
bin1100000000111011111010…
…0110001101010010001000
31201202212220002111211011110
43000032332212031102020
53212414013330401440
644032405310130320
72532256422222612
oct300167646152210
951685802454143
1013210222122120
114233472aa8601
1215942907b09a0
1374a9459c635a
14339541969db2
1517d965243080
hexc03be98d488

13210222122120 has 128 divisors (see below), whose sum is σ = 40309053143040. Its totient is φ = 3462652005120.

The previous prime is 13210222122109. The next prime is 13210222122121. The reversal of 13210222122120 is 2122122201231.

It is not an unprimeable number, because it can be changed into a prime (13210222122121) by changing a digit.

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, 1948155 + ... + 5496885.

It is an arithmetic number, because the mean of its divisors is an integer number (314914477680).

Almost surely, 213210222122120 is an apocalyptic number.

13210222122120 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 13210222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154526571520).

13210222122120 is an abundant number, since it is smaller than the sum of its proper divisors (27098831020920).

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

13210222122120 is a wasteful number, since it uses less digits than its factorization.

13210222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549275 (or 3549271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13210222122120 its reverse (2122122201231), we get a palindrome (15332344323351).

The spelling of 13210222122120 in words is "thirteen trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 463 536 670 804 926 1005 1340 1389 1608 1852 2010 2315 2680 2778 3704 4020 4630 5556 6945 8040 9260 11112 13890 18520 27780 31021 55560 62042 93063 124084 155105 186126 248168 310210 372252 465315 620420 744504 930630 1240840 1861260 3548731 3722520 7097462 10646193 14194924 17743655 21292386 28389848 35487310 42584772 53230965 70974620 85169544 106461930 141949240 212923860 237764977 425847720 475529954 713294931 951059908 1188824885 1426589862 1643062453 1902119816 2377649770 2853179724 3286124906 3566474655 4755299540 4929187359 5706359448 6572249812 7132949310 8215312265 9510599080 9858374718 13144499624 14265898620 16430624530 19716749436 24645936795 28531797240 32861249060 39433498872 49291873590 65722498120 98583747180 110085184351 197167494360 220170368702 330255553053 440340737404 550425921755 660511106106 880681474808 1100851843510 1321022212212 1651277765265 2201703687020 2642044424424 3302555530530 4403407374040 6605111061060 13210222122120