1001214125 has 32 divisors (see below), whose sum is σ = 1300665600. Its totient is φ = 768532800.

The previous prime is 1001214121. The next prime is 1001214157. The reversal of 1001214125 is 5214121001.

It is not a de Polignac number, because 1001214125 - 2² = 1001214121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001214121) 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 31 ways as a sum of consecutive naturals, for example, 648104 + ... + 649646.

It is an arithmetic number, because the mean of its divisors is an integer number (40645800).

Almost surely, 2^1001214125 is an apocalyptic number.

It is an amenable number.

1001214125 is a deficient number, since it is larger than the sum of its proper divisors (299451475).

1001214125 is a wasteful number, since it uses less digits than its factorization.

1001214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1001214125 is about 31641.9677801492. The cubic root of 1001214125 is about 1000.4045446549.

Adding to 1001214125 its reverse (5214121001), we get a palindrome (6215335126).

The spelling of 1001214125 in words is "one billion, one million, two hundred fourteen thousand, one hundred twenty-five".