125601120 has 72 divisors (see below), whose sum is σ = 428618736. Its totient is φ = 33493248.

The previous prime is 125601109. The next prime is 125601121. The reversal of 125601120 is 21106521.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 125601093 and 125601102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125601121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42172 + ... + 45051.

It is an arithmetic number, because the mean of its divisors is an integer number (5953038).

Almost surely, 2^125601120 is an apocalyptic number.

125601120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125601120 is an abundant number, since it is smaller than the sum of its proper divisors (303017616).

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

125601120 is a wasteful number, since it uses less digits than its factorization.

125601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87244 (or 87233 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 125601120 is about 11207.1905489288. The cubic root of 125601120 is about 500.8002119717.

Adding to 125601120 its reverse (21106521), we get a palindrome (146707641).

The spelling of 125601120 in words is "one hundred twenty-five million, six hundred one thousand, one hundred twenty".