12121003001 has 16 divisors (see below), whose sum is σ = 12356170128. Its totient is φ = 11887948800.

The previous prime is 12121002997. The next prime is 12121003039. The reversal of 12121003001 is 10030012121.

It can be written as a sum of positive squares in 8 ways, for example, as 1626024976 + 10494978025 = 40324^2 + 102445^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121003001 - 2² = 12121002997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121003091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16011515 + ... + 16012271.

It is an arithmetic number, because the mean of its divisors is an integer number (772260633).

Almost surely, 2^12121003001 is an apocalyptic number.

It is an amenable number.

12121003001 is a deficient number, since it is larger than the sum of its proper divisors (235167127).

12121003001 is an equidigital number, since it uses as much as digits as its factorization.

12121003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12121003001 its reverse (10030012121), we get a palindrome (22151015122).

The spelling of 12121003001 in words is "twelve billion, one hundred twenty-one million, three thousand, one".