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125200000000 = 21058313
BaseRepresentation
bin111010010011010000…
…0000110010000000000
3102222011101212222111001
41310212200012100000
54022402200000000
6133303250301344
712021400304155
oct1644640062000
9388141788431
10125200000000
1149108155089
1220321287854
13ba6360024a
1460b9bca22c
1533cb76646a
hex1d26806400

125200000000 has 198 divisors, whose sum is σ = 313846518998. Its totient is φ = 49920000000.

The previous prime is 125199999983. The next prime is 125200000067. The reversal of 125200000000 is 2521.

It can be written as a sum of positive squares in 9 ways, for example, as 8137483264 + 117062516736 = 90208^2 + 342144^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399999844 + ... + 400000156.

Almost surely, 2125200000000 is an apocalyptic number.

125200000000 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 125200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156923259499).

125200000000 is an abundant number, since it is smaller than the sum of its proper divisors (188646518998).

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

125200000000 is an frugal number, since it uses more digits than its factorization.

125200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 125200000000 its reverse (2521), we get a palindrome (125200002521).

The spelling of 125200000000 in words is "one hundred twenty-five billion, two hundred million", and thus it is an aban number.