1200122112121 has 2 divisors, whose sum is σ = 1200122112122. Its totient is φ = 1200122112120.

The previous prime is 1200122112097. The next prime is 1200122112131. The reversal of 1200122112121 is 1212112210021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1044870351721 + 155251760400 = 1022189^2 + 394020^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200122112121 - 2²³ = 1200113723513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200122112095 and 1200122112104.

It is not a weakly prime, because it can be changed into another prime (1200122112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600061056060 + 600061056061.

It is an arithmetic number, because the mean of its divisors is an integer number (600061056061).

Almost surely, 2^{1200122112121} is an apocalyptic number.

It is an amenable number.

1200122112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200122112121 is an equidigital number, since it uses as much as digits as its factorization.

1200122112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1200122112121 its reverse (1212112210021), we get a palindrome (2412234322142).

The spelling of 1200122112121 in words is "one trillion, two hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".