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120323220202220 = 225722911731319927
BaseRepresentation
bin11011010110111011101110…
…110011000110001011101100
3120210000210021002121112221012
4123112323232303012023230
5111232333423332432340
61103523420235324352
734226031364444220
oct3326735663061354
9523023232545835
10120323220202220
113537a877a91082
12115b3542bb06b8
13521a57ab261b9
14219d964020780
15dd9d3a61e565
hex6d6eeecc62ec

120323220202220 has 96 divisors (see below), whose sum is σ = 290062388474880. Its totient is φ = 41069898789120.

The previous prime is 120323220202091. The next prime is 120323220202267. The reversal of 120323220202220 is 22202022323021.

120323220202220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375935897 + ... + 376255823.

It is an arithmetic number, because the mean of its divisors is an integer number (3021483213280).

Almost surely, 2120323220202220 is an apocalyptic number.

120323220202220 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 120323220202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145031194237440).

120323220202220 is an abundant number, since it is smaller than the sum of its proper divisors (169739168272660).

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

120323220202220 is a wasteful number, since it uses less digits than its factorization.

120323220202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331903 (or 331901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 120323220202220 its reverse (22202022323021), we get a palindrome (142525242525241).

The spelling of 120323220202220 in words is "one hundred twenty trillion, three hundred twenty-three billion, two hundred twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 3206 4580 6412 8015 11731 16030 23462 32060 46924 58655 82117 117310 164234 234620 319927 328468 410585 639854 821170 1279708 1599635 1642340 2239489 2686399 3199270 4478978 5372798 6398540 8957956 10745596 11197445 13431995 18804793 22394890 26863990 37609586 44789780 53727980 73263283 75219172 94023965 146526566 188047930 293053132 366316415 376095860 512842981 732632830 1025685962 1465265660 2051371924 2564214905 3753063637 5128429810 7506127274 10256859620 15012254548 18765318185 26271445459 37530636370 52542890918 75061272740 105085781836 131357227295 262714454590 525428909180 859451572873 1718903145746 3437806291492 4297257864365 6016161010111 8594515728730 12032322020222 17189031457460 24064644040444 30080805050555 60161610101110 120323220202220