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120320001110120 = 23572692417660923
BaseRepresentation
bin11011010110111000101110…
…111011001111000001101000
3120210000110221202022201201212
4123112320232323033001220
5111232310330241010440
61103522125003132252
734225555535556110
oct3326705673170150
9523013852281655
10120320001110120
1135379475988589
12115b29a4b14088
13521a186c31586
14219d73a6a6040
15dd9becbee465
hex6d6e2eecf068

120320001110120 has 128 divisors (see below), whose sum is σ = 310673406700800. Its totient is φ = 41082150137856.

The previous prime is 120320001110117. The next prime is 120320001110129. The reversal of 120320001110120 is 21011100023021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120320001110095 and 120320001110104.

It is not an unprimeable number, because it can be changed into a prime (120320001110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181717979 + ... + 182378901.

It is an arithmetic number, because the mean of its divisors is an integer number (2427135989850).

Almost surely, 2120320001110120 is an apocalyptic number.

120320001110120 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 120320001110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155336703350400).

120320001110120 is an abundant number, since it is smaller than the sum of its proper divisors (190353405590680).

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

120320001110120 is a wasteful number, since it uses less digits than its factorization.

120320001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663627 (or 663623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 120320001110120 its reverse (21011100023021), we get a palindrome (141331101133141).

The spelling of 120320001110120 in words is "one hundred twenty trillion, three hundred twenty billion, one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 1076 1345 1883 2152 2417 2690 3766 4834 5380 7532 9415 9668 10760 12085 15064 16919 18830 19336 24170 33838 37660 48340 67676 75320 84595 96680 135352 169190 338380 650173 660923 676760 1300346 1321846 2600692 2643692 3250865 3304615 4551211 4626461 5201384 5287384 6501730 6609230 9102422 9252922 13003460 13218460 18204844 18505844 22756055 23132305 26006920 26436920 36409688 37011688 45512110 46264610 91024220 92529220 177788287 182048440 185058440 355576574 711153148 888941435 1244518009 1422306296 1597450891 1777882870 2489036018 3194901782 3555765740 4978072036 6222590045 6389803564 7111531480 7987254455 9956144072 11182156237 12445180090 12779607128 15974508910 22364312474 24890360180 31949017820 44728624948 49780720360 55910781185 63898035640 89457249896 111821562370 223643124740 429714289679 447286249480 859428579358 1718857158716 2148571448395 3008000027753 3437714317432 4297142896790 6016000055506 8594285793580 12032000111012 15040000138765 17188571587160 24064000222024 30080000277530 60160000555060 120320001110120