Search a number
-
+
120212332020 = 2232511194931151
BaseRepresentation
bin110111111110100110…
…1101001110111110100
3102111021210201012021100
41233331031221313310
53432143324111040
6131120315250100
711453654651124
oct1577515516764
9374253635240
10120212332020
1146a88800330
121b36aa49930
13b44a19b811
145b65618c84
1531d8948b30
hex1bfd369df4

120212332020 has 144 divisors (see below), whose sum is σ = 398010412800. Its totient is φ = 29126496000.

The previous prime is 120212332007. The next prime is 120212332057. The reversal of 120212332020 is 20233212021.

120212332020 is a `hidden beast` number, since 1 + 202 + 123 + 320 + 20 = 666.

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 = 120212331984 and 120212332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3843445 + ... + 3874595.

It is an arithmetic number, because the mean of its divisors is an integer number (2763961200).

Almost surely, 2120212332020 is an apocalyptic number.

120212332020 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 120212332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199005206400).

120212332020 is an abundant number, since it is smaller than the sum of its proper divisors (277798080780).

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

120212332020 is a wasteful number, since it uses less digits than its factorization.

120212332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33126 (or 33121 counting only the distinct ones).

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

Adding to 120212332020 its reverse (20233212021), we get a palindrome (140445544041).

The spelling of 120212332020 in words is "one hundred twenty billion, two hundred twelve million, three hundred thirty-two 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 1949 1980 3898 5847 7796 9745 11694 17541 19490 21439 23388 29235 31151 35082 38980 42878 58470 62302 64317 70164 85756 87705 93453 107195 116940 124604 128634 155755 175410 186906 192951 214390 257268 280359 311510 321585 342661 350820 373812 385902 428780 467265 560718 623020 643170 685322 771804 934530 964755 1027983 1121436 1286340 1370644 1401795 1713305 1869060 1929510 2055966 2803590 3083949 3426610 3859020 4111932 5139915 5607180 6167898 6853220 10279830 12335796 15419745 20559660 30839490 60713299 61678980 121426598 182139897 242853196 303566495 364279794 546419691 607132990 667846289 728559588 910699485 1092839382 1214265980 1335692578 1821398970 2003538867 2185678764 2671385156 2732098455 3339231445 3642797940 4007077734 5464196910 6010616601 6678462890 8014155468 10017694335 10928393820 12021233202 13356925780 20035388670 24042466404 30053083005 40070777340 60106166010 120212332020