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125880120 = 23325349667
BaseRepresentation
bin1111000000011…
…00011100111000
322202212101001200
413200030130320
5224211130440
620254014200
73055651302
oct740143470
9282771050
10125880120
1165068663
12361a7360
13201054a2
1412a0a972
15b0b7c30
hex780c738

125880120 has 48 divisors (see below), whose sum is σ = 409111560. Its totient is φ = 33567936.

The previous prime is 125880109. The next prime is 125880137. The reversal of 125880120 is 21088521.

It is a super-2 number, since 2×1258801202 = 31691609222428800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174474 + ... + 175193.

Almost surely, 2125880120 is an apocalyptic number.

125880120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125880120 is an abundant number, since it is smaller than the sum of its proper divisors (283231440).

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

125880120 is a wasteful number, since it uses less digits than its factorization.

125880120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349684 (or 349677 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 125880120 is about 11219.6310099753. The cubic root of 125880120 is about 501.1707498832.

The spelling of 125880120 in words is "one hundred twenty-five million, eight hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 349667 699334 1049001 1398668 1748335 2098002 2797336 3147003 3496670 4196004 5245005 6294006 6993340 8392008 10490010 12588012 13986680 15735015 20980020 25176024 31470030 41960040 62940060 125880120