4001212001 has 2 divisors, whose sum is σ = 4001212002. Its totient is φ = 4001212000.

The previous prime is 4001211947. The next prime is 4001212013. The reversal of 4001212001 is 1002121004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3971520400 + 29691601 = 63020^2 + 5449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4001212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (4001212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000606000 + 2000606001.

It is an arithmetic number, because the mean of its divisors is an integer number (2000606001).

Almost surely, 2^4001212001 is an apocalyptic number.

It is an amenable number.

4001212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001212001 is an equidigital number, since it uses as much as digits as its factorization.

4001212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4001212001 is about 63255.1341868785. The cubic root of 4001212001 is about 1587.5613634164.

Adding to 4001212001 its reverse (1002121004), we get a palindrome (5003333005).

The spelling of 4001212001 in words is "four billion, one million, two hundred twelve thousand, one".