120012412000001 has 2 divisors, whose sum is σ = 120012412000002. Its totient is φ = 120012412000000.

The previous prime is 120012411999967. The next prime is 120012412000009. The reversal of 120012412000001 is 100000214210021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119931497352976 + 80914647025 = 10951324^2 + 284455^2 .

It is a cyclic number.

It is not a de Polignac number, because 120012412000001 - 2³⁰ = 120011338258177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120012412000001.

It is not a weakly prime, because it can be changed into another prime (120012412000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60006206000000 + 60006206000001.

It is an arithmetic number, because the mean of its divisors is an integer number (60006206000001).

Almost surely, 2^{120012412000001} is an apocalyptic number.

It is an amenable number.

120012412000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120012412000001 is an equidigital number, since it uses as much as digits as its factorization.

120012412000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120012412000001 its reverse (100000214210021), we get a palindrome (220012626210022).

The spelling of 120012412000001 in words is "one hundred twenty trillion, twelve billion, four hundred twelve million, one", and thus it is an aban number.