1200121122121 has 8 divisors (see below), whose sum is σ = 1252588453704. Its totient is φ = 1148758366080.

The previous prime is 1200121122089. The next prime is 1200121122127. The reversal of 1200121122121 is 1212211210021.

It can be written as a sum of positive squares in 4 ways, for example, as 42698023225 + 1157423098896 = 206635^2 + 1075836^2 .

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 1200121122121 - 2⁵ = 1200121122089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200121122095 and 1200121122104.

It is not an unprimeable number, because it can be changed into a prime (1200121122127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276141666 + ... + 276146011.

It is an arithmetic number, because the mean of its divisors is an integer number (156573556713).

Almost surely, 2^{1200121122121} is an apocalyptic number.

It is an amenable number.

1200121122121 is a deficient number, since it is larger than the sum of its proper divisors (52467331583).

1200121122121 is an equidigital number, since it uses as much as digits as its factorization.

1200121122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552287771.

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

Adding to 1200121122121 its reverse (1212211210021), we get a palindrome (2412332332142).

The spelling of 1200121122121 in words is "one trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".