1200312112121 has 2 divisors, whose sum is σ = 1200312112122. Its totient is φ = 1200312112120.

The previous prime is 1200312112061. The next prime is 1200312112123. The reversal of 1200312112121 is 1212112130021.

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., 953366724025 + 246945388096 = 976405^2 + 496936^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200312112121 - 2³⁴ = 1183132242937 is a prime.

Together with 1200312112123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1200312112121.

It is not a weakly prime, because it can be changed into another prime (1200312112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600156056060 + 600156056061.

It is an arithmetic number, because the mean of its divisors is an integer number (600156056061).

Almost surely, 2^{1200312112121} is an apocalyptic number.

It is an amenable number.

1200312112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200312112121 is an equidigital number, since it uses as much as digits as its factorization.

1200312112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1200312112121 its reverse (1212112130021), we get a palindrome (2412424242142).

The spelling of 1200312112121 in words is "one trillion, two hundred billion, three hundred twelve million, one hundred twelve thousand, one hundred twenty-one".