Search a number
-
+
120000221000 = 235311101108011
BaseRepresentation
bin110111111000010010…
…0100000111101001000
3102110202000120211122122
41233300210200331020
53431230024033000
6131043301110412
711445501022502
oct1576044407510
9373660524578
10120000221000
1146989aa6170
121b30b9b8408
13b415263b3a
145b453a2d72
1531c4eeb085
hex1bf0920f48

120000221000 has 128 divisors (see below), whose sum is σ = 309363649920. Its totient is φ = 43204000000.

The previous prime is 120000220997. The next prime is 120000221041. The reversal of 120000221000 is 122000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056995 + ... + 1165005.

It is an arithmetic number, because the mean of its divisors is an integer number (2416903515).

Almost surely, 2120000221000 is an apocalyptic number.

120000221000 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 120000221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154681824960).

120000221000 is an abundant number, since it is smaller than the sum of its proper divisors (189363428920).

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

120000221000 is a wasteful number, since it uses less digits than its factorization.

120000221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108144 (or 108130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120000221000 its reverse (122000021), we get a palindrome (120122221021).

The spelling of 120000221000 in words is "one hundred twenty billion, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 108011 111100 138875 216022 222200 277750 432044 540055 555500 864088 1080110 1111000 1188121 2160220 2376242 2700275 4320440 4752484 5400550 5940605 9504968 10801100 10909111 11881210 13501375 21602200 21818222 23762420 27002750 29703025 43636444 47524840 54005500 54545555 59406050 87272888 108011000 109091110 118812100 120000221 148515125 218182220 237624200 240000442 272727775 297030250 436364440 480000884 545455550 594060500 600001105 960001768 1090911100 1188121000 1200002210 1363638875 2181822200 2400004420 2727277750 3000005525 4800008840 5454555500 6000011050 10909111000 12000022100 15000027625 24000044200 30000055250 60000110500 120000221000