125216 has 48 divisors (see below), whose sum is σ = 310464. Its totient is φ = 48384.

The previous prime is 125207. The next prime is 125219. The reversal of 125216 is 612521.

125216 = T₁₃ + T₁₄ + ... + T₉₀.

125216 = 23³ + 24³ + ... + 29³.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 125194 and 125203.

It is not an unprimeable number, because it can be changed into a prime (125219) by changing a digit.

125216 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2891 + ... + 2933.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2¹²⁵²¹⁶ is an apocalyptic number.

125216 is a gapful number since it is divisible by the number (16) 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 125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

125216 is an abundant number, since it is smaller than the sum of its proper divisors (185248).

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

125216 is a wasteful number, since it uses less digits than its factorization.

125216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 125216 is about 353.8587288735. The cubic root of 125216 is about 50.0287834271.

Adding to 125216 its reverse (612521), we get a palindrome (737737).

It can be divided in two parts, 125 and 216, that multiplied together give a cube (27000 = 30³).

The spelling of 125216 in words is "one hundred twenty-five thousand, two hundred sixteen".