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120013212020 = 2251323181110879
BaseRepresentation
bin110111111000101011…
…0000100100101110100
3102110202221000211222112
41233301112010211310
53431241340241040
6131044443350152
711446016320262
oct1576126044564
9373687024875
10120013212020
1146996369549
121b314222358
13b417b61c30
145b46dc5432
1531c6215365
hex1bf1584974

120013212020 has 96 divisors (see below), whose sum is σ = 284782417920. Its totient is φ = 42151380480.

The previous prime is 120013211971. The next prime is 120013212023. The reversal of 120013212020 is 20212310021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120013211986 and 120013212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026941 + ... + 1137819.

It is an arithmetic number, because the mean of its divisors is an integer number (2966483520).

Almost surely, 2120013212020 is an apocalyptic number.

120013212020 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 120013212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142391208960).

120013212020 is an abundant number, since it is smaller than the sum of its proper divisors (164769205900).

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

120013212020 is a wasteful number, since it uses less digits than its factorization.

120013212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111105 (or 111103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 120013212020 its reverse (20212310021), we get a palindrome (140225522041).

The spelling of 120013212020 in words is "one hundred twenty billion, thirteen million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 181 230 260 299 362 460 598 724 905 1196 1495 1810 2353 2990 3620 4163 4706 5980 8326 9412 11765 16652 20815 23530 41630 47060 54119 83260 108238 110879 216476 221758 270595 443516 541190 554395 1082380 1108790 1441427 2217580 2550217 2882854 5100434 5765708 7207135 10200868 12751085 14414270 20069099 25502170 28828540 33152821 40138198 51004340 66305642 80276396 100345495 132611284 165764105 200690990 260898287 331528210 401381980 461589277 521796574 663056420 923178554 1043593148 1304491435 1846357108 2307946385 2608982870 4615892770 5217965740 6000660601 9231785540 12001321202 24002642404 30003303005 60006606010 120013212020