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120020010011220 = 223511367349509529
BaseRepresentation
bin11011010010100001010110…
…000100000000101001010100
3120201221210121212010221000010
4123102201112010000221110
5111212401440030324340
61103132233104520220
734165105506365244
oct3322412604005124
9521853555127003
10120020010011220
1135273222810870
1211564822620070
1351c7ab8bcb2b7
14218cddc7ddb24
15dd1ee11ecb80
hex6d2856100a54

120020010011220 has 96 divisors (see below), whose sum is σ = 366706394651520. Its totient is φ = 29087837890560.

The previous prime is 120020010011129. The next prime is 120020010011221. The reversal of 120020010011220 is 22110010020021.

120020010011220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 120020010011196 and 120020010011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020010011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22330585 + ... + 27178944.

It is an arithmetic number, because the mean of its divisors is an integer number (3819858277620).

Almost surely, 2120020010011220 is an apocalyptic number.

120020010011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020010011220 is an abundant number, since it is smaller than the sum of its proper divisors (246686384640300).

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

120020010011220 is a wasteful number, since it uses less digits than its factorization.

120020010011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49513225 (or 49513223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120020010011220 its reverse (22110010020021), we get a palindrome (142130020031241).

The spelling of 120020010011220 in words is "one hundred twenty trillion, twenty billion, ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3673 7346 11019 14692 18365 22038 36730 40403 44076 55095 73460 80806 110190 121209 161612 202015 220380 242418 404030 484836 606045 808060 1212090 2424180 49509529 99019058 148528587 198038116 247547645 297057174 495095290 544604819 594114348 742642935 990190580 1089209638 1485285870 1633814457 2178419276 2723024095 2970571740 3267628914 5446048190 6535257828 8169072285 10892096380 16338144570 32676289140 181848500017 363697000034 545545500051 727394000068 909242500085 1091091000102 1818485000170 2000333500187 2182182000204 2727727500255 3636970000340 4000667000374 5455455000510 6001000500561 8001334000748 10001667500935 10910910001020 12002001001122 20003335001870 24004002002244 30005002502805 40006670003740 60010005005610 120020010011220