121200111121 has 8 divisors (see below), whose sum is σ = 122067121320. Its totient is φ = 120335014272.

The previous prime is 121200111113. The next prime is 121200111139. The reversal of 121200111121 is 121111002121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51387902721 + 69812208400 = 226689^2 + 264220^2 .

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 121200111121 - 2³ = 121200111113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121200111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351076 + ... + 604693.

It is an arithmetic number, because the mean of its divisors is an integer number (15258390165).

Almost surely, 2^121200111121 is an apocalyptic number.

It is an amenable number.

121200111121 is a deficient number, since it is larger than the sum of its proper divisors (867010199).

121200111121 is an equidigital number, since it uses as much as digits as its factorization.

121200111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956675.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121200111121 its reverse (121111002121), we get a palindrome (242311113242).

The spelling of 121200111121 in words is "one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".