Search a number
-
+
120222120 = 23351967787
BaseRepresentation
bin1110010101001…
…11000110101000
322101012220202010
413022213012220
5221234101440
615532435520
72656604544
oct712470650
9271186663
10120222120
1161953727
1234318ba0
131bba4065
1411d76a24
15a84b580
hex72a71a8

120222120 has 128 divisors (see below), whose sum is σ = 385804800. Its totient is φ = 29880576.

The previous prime is 120222119. The next prime is 120222133. The reversal of 120222120 is 21222021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120222096 and 120222105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152367 + ... + 153153.

It is an arithmetic number, because the mean of its divisors is an integer number (3014100).

Almost surely, 2120222120 is an apocalyptic number.

120222120 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 120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192902400).

120222120 is an abundant number, since it is smaller than the sum of its proper divisors (265582680).

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

120222120 is a wasteful number, since it uses less digits than its factorization.

120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120222120 is about 10964.5848074608. The cubic root of 120222120 is about 493.5465578570.

Adding to 120222120 its reverse (21222021), we get a palindrome (141444141).

Subtracting from 120222120 its reverse (21222021), we obtain a palindrome (99000099).

The spelling of 120222120 in words is "one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 67 76 95 114 120 134 152 190 201 228 268 285 335 380 402 456 536 570 670 760 787 804 1005 1140 1273 1340 1574 1608 2010 2280 2361 2546 2680 3148 3819 3935 4020 4722 5092 6296 6365 7638 7870 8040 9444 10184 11805 12730 14953 15276 15740 18888 19095 23610 25460 29906 30552 31480 38190 44859 47220 50920 52729 59812 74765 76380 89718 94440 105458 119624 149530 152760 158187 179436 210916 224295 263645 299060 316374 358872 421832 448590 527290 598120 632748 790935 897180 1001851 1054580 1265496 1581870 1794360 2003702 2109160 3005553 3163740 4007404 5009255 6011106 6327480 8014808 10018510 12022212 15027765 20037020 24044424 30055530 40074040 60111060 120222120