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120314122220 = 22522934677577
BaseRepresentation
bin111000000001101000…
…1111100111111101100
3102111112220020200011202
41300003101330333230
53432400403402340
6131134353105032
711456332110425
oct1600321747754
9374486220152
10120314122220
1147030204866
121b398b58178
13b4652bb0c6
145b74d5464c
1531e2853c15
hex1c0347cfec

120314122220 has 48 divisors (see below), whose sum is σ = 253869668640. Its totient is φ = 47895350784.

The previous prime is 120314122213. The next prime is 120314122241. The reversal of 120314122220 is 22221413021.

120314122220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120314122192 and 120314122201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15875072 + ... + 15882648.

It is an arithmetic number, because the mean of its divisors is an integer number (5288951430).

Almost surely, 2120314122220 is an apocalyptic number.

120314122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120314122220 is an abundant number, since it is smaller than the sum of its proper divisors (133555546420).

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

120314122220 is a wasteful number, since it uses less digits than its factorization.

120314122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120314122220 its reverse (22221413021), we get a palindrome (142535535241).

The spelling of 120314122220 in words is "one hundred twenty billion, three hundred fourteen million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 3467 4580 6934 7577 13868 15154 17335 30308 34670 37885 69340 75770 151540 793943 1587886 1735133 3175772 3470266 3969715 6940532 7939430 8675665 15878860 17351330 26269459 34702660 52538918 105077836 131347295 262694590 525389180 6015706111 12031412222 24062824444 30078530555 60157061110 120314122220