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120220747000 = 23532329180241
BaseRepresentation
bin110111111110110110…
…1110000010011111000
3102111022101112201110021
41233331231300103320
53432203002401000
6131121215500224
711454116326444
oct1577555602370
9374271481407
10120220747000
1146a92528662
121b371827674
13b44bb56ab3
145b667a9824
1531d955c11a
hex1bfdb704f8

120220747000 has 128 divisors (see below), whose sum is σ = 303671721600. Its totient is φ = 44411136000.

The previous prime is 120220746979. The next prime is 120220747007. The reversal of 120220747000 is 747022021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220747007) 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 31 ways as a sum of consecutive naturals, for example, 576880 + ... + 757120.

It is an arithmetic number, because the mean of its divisors is an integer number (2372435325).

Almost surely, 2120220747000 is an apocalyptic number.

120220747000 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 120220747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151835860800).

120220747000 is an abundant number, since it is smaller than the sum of its proper divisors (183450974600).

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

120220747000 is a wasteful number, since it uses less digits than its factorization.

120220747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180314 (or 180300 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

Adding to 120220747000 its reverse (747022021), we get a palindrome (120967769021).

The spelling of 120220747000 in words is "one hundred twenty billion, two hundred twenty million, seven hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 125 145 184 200 230 232 250 290 460 500 575 580 667 725 920 1000 1150 1160 1334 1450 2300 2668 2875 2900 3335 3625 4600 5336 5750 5800 6670 7250 11500 13340 14500 16675 23000 26680 29000 33350 66700 83375 133400 166750 180241 333500 360482 667000 720964 901205 1441928 1802410 3604820 4145543 4506025 5226989 7209640 8291086 9012050 10453978 16582172 18024100 20727715 20907956 22530125 26134945 33164344 36048200 41455430 41815912 45060250 52269890 82910860 90120500 103638575 104539780 120220747 130674725 165821720 180241000 207277150 209079560 240441494 261349450 414554300 480882988 518192875 522698900 601103735 653373625 829108600 961765976 1036385750 1045397800 1202207470 1306747250 2072771500 2404414940 2613494500 3005518675 4145543000 4808829880 5226989000 6011037350 12022074700 15027593375 24044149400 30055186750 60110373500 120220747000