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120020032020 = 22357367778643
BaseRepresentation
bin110111111000111000…
…0000101101000010100
3102110210101212100021010
41233301300011220110
53431300112011040
6131045245452220
711446131303540
oct1576160055024
9373711770233
10120020032020
114699a1a7509
121b316571070
13b4193ac235
145b47c7ca20
1531c6b10e80
hex1bf1c05a14

120020032020 has 96 divisors (see below), whose sum is σ = 385111093248. Its totient is φ = 27358365312.

The previous prime is 120020032007. The next prime is 120020032031. The reversal of 120020032020 is 20230020021.

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 = 120020031987 and 120020032005.

It is a congruent number.

It is an unprimeable number.

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, 235182 + ... + 543461.

It is an arithmetic number, because the mean of its divisors is an integer number (4011573888).

Almost surely, 2120020032020 is an apocalyptic number.

120020032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020032020 is an abundant number, since it is smaller than the sum of its proper divisors (265091061228).

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

120020032020 is a wasteful number, since it uses less digits than its factorization.

120020032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779029 (or 779027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 120020032020 its reverse (20230020021), we get a palindrome (140250052041).

The spelling of 120020032020 in words is "one hundred twenty billion, twenty million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 1101 1468 1835 2202 2569 3670 4404 5138 5505 7340 7707 10276 11010 12845 15414 22020 25690 30828 38535 51380 77070 154140 778643 1557286 2335929 3114572 3893215 4671858 5450501 7786430 9343716 10901002 11679645 15572860 16351503 21802004 23359290 27252505 32703006 46718580 54505010 65406012 81757515 109010020 163515030 285761981 327030060 571523962 857285943 1143047924 1428809905 1714571886 2000333867 2857619810 3429143772 4000667734 4286429715 5715239620 6001001601 8001335468 8572859430 10001669335 12002003202 17145718860 20003338670 24004006404 30005008005 40006677340 60010016010 120020032020