125362120 has 48 divisors (see below), whose sum is σ = 304381980. Its totient is φ = 46193280.

The previous prime is 125362103. The next prime is 125362123. The reversal of 125362120 is 21263521.

It can be written as a sum of positive squares in 2 ways, for example, as 116683204 + 8678916 = 10802^2 + 2946^2 .

It is a super-2 number, since 2×125362120² = 31431322261788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125362091 and 125362100.

It is not an unprimeable number, because it can be changed into a prime (125362123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255075 + ... + 255565.

Almost surely, 2^125362120 is an apocalyptic number.

125362120 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 125362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152190990).

125362120 is an abundant number, since it is smaller than the sum of its proper divisors (179019860).

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

125362120 is an equidigital number, since it uses as much as digits as its factorization.

125362120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 125362120 is about 11196.5226744735. The cubic root of 125362120 is about 500.4823611724.

The spelling of 125362120 in words is "one hundred twenty-five million, three hundred sixty-two thousand, one hundred twenty".