121120211201 has 12 divisors (see below), whose sum is σ = 133141472100. Its totient is φ = 110101559040.

The previous prime is 121120211167. The next prime is 121120211239. The reversal of 121120211201 is 102112021121.

It can be written as a sum of positive squares in 2 ways, for example, as 50929656976 + 70190554225 = 225676^2 + 264935^2 .

It is not a de Polignac number, because 121120211201 - 2⁶ = 121120211137 is a prime.

It is a super-2 number, since 2×121120211201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121120211501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2381405 + ... + 2431733.

It is an arithmetic number, because the mean of its divisors is an integer number (11095122675).

Almost surely, 2^121120211201 is an apocalyptic number.

121120211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120211201 is a deficient number, since it is larger than the sum of its proper divisors (12021260899).

121120211201 is a wasteful number, since it uses less digits than its factorization.

121120211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70240 (or 70229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121120211201 its reverse (102112021121), we get a palindrome (223232232322).

It can be divided in two parts, 12112021120 and 1, that added together give a palindrome (12112021121).

The spelling of 121120211201 in words is "one hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, two hundred one".