75120011201 has 16 divisors (see below), whose sum is σ = 77713549200. Its totient is φ = 72556704000.

The previous prime is 75120011167. The next prime is 75120011203. The reversal of 75120011201 is 10211002157.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8154993025 + 66965018176 = 90305^2 + 258776^2 .

It is a de Polignac number, because none of the positive numbers 2^k-75120011201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75120011203) 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, 13652951 + ... + 13658451.

It is an arithmetic number, because the mean of its divisors is an integer number (4857096825).

Almost surely, 2^75120011201 is an apocalyptic number.

It is an amenable number.

75120011201 is a deficient number, since it is larger than the sum of its proper divisors (2593537999).

75120011201 is a wasteful number, since it uses less digits than its factorization.

75120011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 75120011201 its reverse (10211002157), we get a palindrome (85331013358).

The spelling of 75120011201 in words is "seventy-five billion, one hundred twenty million, eleven thousand, two hundred one".