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120126125 = 5372347127
BaseRepresentation
bin1110010100011…
…11101010101101
322101001001001202
413022033222231
5221223014000
615530415245
72656024640
oct712175255
9271031052
10120126125
1161898599
1234291525
131bb6c462
1411d4da57
15a82cdd5
hex728faad

120126125 has 64 divisors (see below), whose sum is σ = 184025088. Its totient is φ = 76507200.

The previous prime is 120126089. The next prime is 120126137. The reversal of 120126125 is 521621021.

It is not a de Polignac number, because 120126125 - 28 = 120125869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120126097 and 120126106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945812 + ... + 945938.

It is an arithmetic number, because the mean of its divisors is an integer number (2875392).

Almost surely, 2120126125 is an apocalyptic number.

It is an amenable number.

120126125 is a deficient number, since it is larger than the sum of its proper divisors (63898963).

120126125 is a wasteful number, since it uses less digits than its factorization.

120126125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 120126125 is about 10960.2064305377. The cubic root of 120126125 is about 493.4151604692.

Adding to 120126125 its reverse (521621021), we get a palindrome (641747146).

The spelling of 120126125 in words is "one hundred twenty million, one hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 5 7 23 25 35 47 115 125 127 161 175 235 329 575 635 805 875 889 1081 1175 1645 2875 2921 3175 4025 4445 5405 5875 5969 7567 8225 14605 15875 20125 20447 22225 27025 29845 37835 41125 41783 73025 102235 111125 135125 137287 149225 189175 208915 365125 511175 686435 746125 945875 961009 1044575 2555875 3432175 4805045 5222875 17160875 24025225 120126125