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120125303120 = 2451501566289
BaseRepresentation
bin110111111100000000…
…1101010100101010000
3102111001201221200001202
41233320001222211100
53432004034144440
6131103530050332
711451550141424
oct1577001524520
9374051850052
10120125303120
1146a43669219
121b3458799a8
13b43514a024
145b57c42b84
1531d0ea7615
hex1bf806a950

120125303120 has 20 divisors (see below), whose sum is σ = 279291329940. Its totient is φ = 48050121216.

The previous prime is 120125303119. The next prime is 120125303171. The reversal of 120125303120 is 21303521021.

It can be written as a sum of positive squares in 2 ways, for example, as 28384162576 + 91741140544 = 168476^2 + 302888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120125303092 and 120125303101.

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 3 ways as a sum of consecutive naturals, for example, 750783065 + ... + 750783224.

It is an arithmetic number, because the mean of its divisors is an integer number (13964566497).

Almost surely, 2120125303120 is an apocalyptic number.

120125303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120125303120 is an abundant number, since it is smaller than the sum of its proper divisors (159166026820).

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

120125303120 is a wasteful number, since it uses less digits than its factorization.

120125303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501566302 (or 1501566296 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 120125303120 its reverse (21303521021), we get a palindrome (141428824141).

The spelling of 120125303120 in words is "one hundred twenty billion, one hundred twenty-five million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1501566289 3003132578 6006265156 7507831445 12012530312 15015662890 24025060624 30031325780 60062651560 120125303120