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125241120 = 2533553547
BaseRepresentation
bin1110111011100…
…00011100100000
322201122220112000
413131300130200
5224030203440
620232204000
73050350314
oct735603440
9281586460
10125241120
1164771564
1235b39600
131cc40694
14128c1b44
15aedd730
hex7770720

125241120 has 192 divisors, whose sum is σ = 447431040. Its totient is φ = 32707584.

The previous prime is 125241119. The next prime is 125241131. The reversal of 125241120 is 21142521.

125241120 is a `hidden beast` number, since 1 + 252 + 411 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125241093 and 125241102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228687 + ... + 229233.

It is an arithmetic number, because the mean of its divisors is an integer number (2330370).

Almost surely, 2125241120 is an apocalyptic number.

125241120 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 125241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223715520).

125241120 is an abundant number, since it is smaller than the sum of its proper divisors (322189920).

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

125241120 is a wasteful number, since it uses less digits than its factorization.

125241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125241120 is about 11191.1179066258. The cubic root of 125241120 is about 500.3212868386.

Adding to 125241120 its reverse (21142521), we get a palindrome (146383641).

The spelling of 125241120 in words is "one hundred twenty-five million, two hundred forty-one thousand, one hundred twenty".