1200122211121 has 8 divisors (see below), whose sum is σ = 1201713499584. Its totient is φ = 1198531595280.

The previous prime is 1200122211061. The next prime is 1200122211131. The reversal of 1200122211121 is 1211122210021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1200122211121 - 2²⁹ = 1199585340209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200122211095 and 1200122211104.

It is not an unprimeable number, because it can be changed into a prime (1200122211131) 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 in 7 ways as a sum of consecutive naturals, for example, 3454266 + ... + 3785788.

It is an arithmetic number, because the mean of its divisors is an integer number (150214187448).

Almost surely, 2^{1200122211121} is an apocalyptic number.

It is an amenable number.

1200122211121 is a deficient number, since it is larger than the sum of its proper divisors (1591288463).

1200122211121 is an equidigital number, since it uses as much as digits as its factorization.

1200122211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336311.

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

Adding to 1200122211121 its reverse (1211122210021), we get a palindrome (2411244421142).

The spelling of 1200122211121 in words is "one trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".