125105220 has 72 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 33268800.

The previous prime is 125105213. The next prime is 125105237. The reversal of 125105220 is 22501521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125105193 and 125105202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85495 + ... + 86945.

It is an arithmetic number, because the mean of its divisors is an integer number (5285280).

Almost surely, 2^125105220 is an apocalyptic number.

125105220 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 125105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

125105220 is an abundant number, since it is smaller than the sum of its proper divisors (255434940).

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

125105220 is a wasteful number, since it uses less digits than its factorization.

125105220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 125105220 is about 11185.0444791248. The cubic root of 125105220 is about 500.1402539873.

Adding to 125105220 its reverse (22501521), we get a palindrome (147606741).

The spelling of 125105220 in words is "one hundred twenty-five million, one hundred five thousand, two hundred twenty".