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120121220120 = 235111914368567
BaseRepresentation
bin110111111011111001…
…0000101110000011000
3102111001110021020020112
41233313302011300120
53432002013020440
6131103302343452
711451500344556
oct1576762056030
9374043236215
10120121220120
1146a4132a640
121b34442ab88
13b43434a755
145b5749cbd6
1531d094c965
hex1bf7c85c18

120121220120 has 64 divisors (see below), whose sum is σ = 310361068800. Its totient is φ = 41381470080.

The previous prime is 120121220071. The next prime is 120121220123. The reversal of 120121220120 is 21022121021.

It is a junction number, because it is equal to n+sod(n) for n = 120121220095 and 120121220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121220123) 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, 7175924 + ... + 7192643.

It is an arithmetic number, because the mean of its divisors is an integer number (4849391700).

Almost surely, 2120121220120 is an apocalyptic number.

120121220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121220120 is an abundant number, since it is smaller than the sum of its proper divisors (190239848680).

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

120121220120 is a wasteful number, since it uses less digits than its factorization.

120121220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368608 (or 14368604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120121220120 its reverse (21022121021), we get a palindrome (141143341141).

Subtracting from 120121220120 its reverse (21022121021), we obtain a palindrome (99099099099).

The spelling of 120121220120 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 14368567 28737134 57474268 71842835 114948536 143685670 158054237 273002773 287371340 316108474 546005546 574742680 632216948 790271185 1092011092 1264433896 1365013865 1580542370 2184022184 2730027730 3003030503 3161084740 5460055460 6006061006 6322169480 10920110920 12012122012 15015152515 24024244024 30030305030 60060610060 120121220120