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120222021220 = 22574123389891
BaseRepresentation
bin110111111110111001…
…0100111011001100100
3102111022110221110100121
41233331302213121210
53432203314134340
6131121303051324
711454133214410
oct1577562473144
9374273843317
10120222021220
1146a93218a34
121b372140b44
13b44c1b1a82
145b66a1bd40
1531d970e94a
hex1bfdca7664

120222021220 has 96 divisors (see below), whose sum is σ = 296842081536. Its totient is φ = 40040601600.

The previous prime is 120222021193. The next prime is 120222021253. The reversal of 120222021220 is 22120222021.

It is a junction number, because it is equal to n+sod(n) for n = 120222021194 and 120222021203.

It is an unprimeable number.

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, 1292475 + ... + 1382365.

It is an arithmetic number, because the mean of its divisors is an integer number (3092105016).

Almost surely, 2120222021220 is an apocalyptic number.

120222021220 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 120222021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148421040768).

120222021220 is an abundant number, since it is smaller than the sum of its proper divisors (176620060316).

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

120222021220 is a wasteful number, since it uses less digits than its factorization.

120222021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90181 (or 90179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120222021220 its reverse (22120222021), we get a palindrome (142342243241).

The spelling of 120222021220 in words is "one hundred twenty billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 233 287 410 466 574 820 932 1148 1165 1435 1631 2330 2870 3262 4660 5740 6524 8155 9553 16310 19106 32620 38212 47765 66871 89891 95530 133742 179782 191060 267484 334355 359564 449455 629237 668710 898910 1258474 1337420 1797820 2516948 3146185 3685531 6292370 7371062 12584740 14742124 18427655 20944603 25798717 36855310 41889206 51597434 73710620 83778412 103194868 104723015 128993585 146612221 209446030 257987170 293224442 418892060 515974340 586448884 733061105 858728723 1466122210 1717457446 2932244420 3434914892 4293643615 6011101061 8587287230 12022202122 17174574460 24044404244 30055505305 60111010610 120222021220