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125212000 = 2553231361
BaseRepresentation
bin1110111011010…
…01010101100000
322201121102120111
413131221111200
5224023241000
620231421104
73050166364
oct735512540
9281542514
10125212000
11647516a1
1235b24794
131cc30354
14128b52a4
15aed4cba
hex7769560

125212000 has 96 divisors (see below), whose sum is σ = 321257664. Its totient is φ = 47872000.

The previous prime is 125211973. The next prime is 125212039. The reversal of 125212000 is 212521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91320 + ... + 92680.

It is an arithmetic number, because the mean of its divisors is an integer number (3346434).

Almost surely, 2125212000 is an apocalyptic number.

125212000 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 125212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160628832).

125212000 is an abundant number, since it is smaller than the sum of its proper divisors (196045664).

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

125212000 is a wasteful number, since it uses less digits than its factorization.

125212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 125212000 is about 11189.8167992153. The cubic root of 125212000 is about 500.2825070162.

Adding to 125212000 its reverse (212521), we get a palindrome (125424521).

The spelling of 125212000 in words is "one hundred twenty-five million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1361 1840 2000 2300 2722 2875 3680 4000 4600 5444 5750 6805 9200 10888 11500 13610 18400 21776 23000 27220 31303 34025 43552 46000 54440 62606 68050 92000 108880 125212 136100 156515 170125 217760 250424 272200 313030 340250 500848 544400 626060 680500 782575 1001696 1088800 1252120 1361000 1565150 2504240 2722000 3130300 3912875 5008480 5444000 6260600 7825750 12521200 15651500 25042400 31303000 62606000 125212000