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120125405325 = 35231373138517
BaseRepresentation
bin110111111100000001…
…0000011100010001101
3102111001202010212021010
41233320002003202031
53432004100432300
6131103532155433
711451551045412
oct1577002034215
9374052125233
10120125405325
1146a43728a92
121b345908b79
13b4351846c3
145b57c6c109
1531d0ec7a50
hex1bf808388d

120125405325 has 48 divisors (see below), whose sum is σ = 205565144576. Its totient is φ = 61833542400.

The previous prime is 120125405317. The next prime is 120125405327. The reversal of 120125405325 is 523504521021.

It is not a de Polignac number, because 120125405325 - 23 = 120125405317 is a prime.

It is a super-2 number, since 2×1201254053252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120125405292 and 120125405301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120125405327) 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 47 ways as a sum of consecutive naturals, for example, 797967 + ... + 936483.

Almost surely, 2120125405325 is an apocalyptic number.

120125405325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120125405325 is a deficient number, since it is larger than the sum of its proper divisors (85439739251).

120125405325 is a wasteful number, since it uses less digits than its factorization.

120125405325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138934 (or 138929 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 120125405325 its reverse (523504521021), we get a palindrome (643629926346).

The spelling of 120125405325 in words is "one hundred twenty billion, one hundred twenty-five million, four hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 373 465 775 1119 1865 2325 5595 9325 11563 27975 34689 57815 138517 173445 289075 415551 692585 867225 2077755 3462925 4294027 10388775 12882081 21470135 51666841 64410405 107350675 155000523 258334205 322052025 775002615 1291671025 1601672071 3875013075 4805016213 8008360355 24025081065 40041801775 120125405325