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125120 = 2651723
BaseRepresentation
bin11110100011000000
320100122002
4132203000
513000440
62403132
71030532
oct364300
9210562
10125120
1186006
12604a8
1344c48
1433852
1527115
hex1e8c0

125120 has 56 divisors (see below), whose sum is σ = 329184. Its totient is φ = 45056.

The previous prime is 125119. The next prime is 125131. The reversal of 125120 is 21521.

Adding to 125120 its reverse (21521), we get a palindrome (146641).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5429 + ... + 5451.

2125120 is an apocalyptic number.

125120 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 125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592).

125120 is an abundant number, since it is smaller than the sum of its proper divisors (204064).

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

125120 is a wasteful number, since it uses less digits than its factorization.

125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 125120 is about 353.7230555109. The cubic root of 125120 is about 50.0159948827.

The spelling of 125120 in words is "one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 136 160 170 184 230 272 320 340 368 391 460 544 680 736 782 920 1088 1360 1472 1564 1840 1955 2720 3128 3680 3910 5440 6256 7360 7820 12512 15640 25024 31280 62560 125120