120557041 has 16 divisors (see below), whose sum is σ = 133451136. Its totient is φ = 108000000.

The previous prime is 120557039. The next prime is 120557051. The reversal of 120557041 is 140755021.

It is a 6-Lehmer number, since φ(120557041) divides (120557041-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 120557041 - 2¹ = 120557039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120556997 and 120557015.

It is not an unprimeable number, because it can be changed into a prime (120557051) 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 15 ways as a sum of consecutive naturals, for example, 300441 + ... + 300841.

It is an arithmetic number, because the mean of its divisors is an integer number (8340696).

Almost surely, 2^120557041 is an apocalyptic number.

120557041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120557041 is a deficient number, since it is larger than the sum of its proper divisors (12894095).

120557041 is a wasteful number, since it uses less digits than its factorization.

120557041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 120557041 is about 10979.8470390074. The cubic root of 120557041 is about 494.0044487571.

The spelling of 120557041 in words is "one hundred twenty million, five hundred fifty-seven thousand, forty-one".