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120020222210120 = 23531775771249217
BaseRepresentation
bin11011010010100001100010…
…101101011111000001001000
3120201221211011122102202011122
4123102201202231133001020
5111212402403341210440
61103132310125014412
734165113664141031
oct3322414255370110
9521854148382148
10120020222210120
1135273321575a61
12115648816b4408
1351c7b20b66c8b
14218d01ca79a88
15dd2004b667b5
hex6d2862b5f048

120020222210120 has 64 divisors (see below), whose sum is σ = 270933347994480. Its totient is φ = 47850289463296.

The previous prime is 120020222209997. The next prime is 120020222210123. The reversal of 120020222210120 is 21012222020021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5968630114084 + 114051592096036 = 2443078^2 + 10679494^2 .

It is not an unprimeable number, because it can be changed into a prime (120020222210123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95451752 + ... + 96700968.

Almost surely, 2120020222210120 is an apocalyptic number.

120020222210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020222210120 is an abundant number, since it is smaller than the sum of its proper divisors (150913125784360).

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

120020222210120 is a wasteful number, since it uses less digits than its factorization.

120020222210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257122 (or 1257118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120020222210120 its reverse (21012222020021), we get a palindrome (141032444230141).

The spelling of 120020222210120 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 6340 7577 12680 15154 30308 37885 60616 75770 151540 303080 1249217 2401909 2498434 4803818 4996868 6246085 9607636 9993736 12009545 12492170 19215272 24019090 24984340 48038180 49968680 96076360 396001789 792003578 1584007156 1980008945 3168014312 3960017890 7920035780 9465317209 15840071560 18930634418 37861268836 47326586045 75722537672 94653172090 189306344180 378612688360 3000505555253 6001011110506 12002022221012 15002527776265 24004044442024 30005055552530 60010111105060 120020222210120