121200111012211 has 96 divisors (see below), whose sum is σ = 160041143808000. Its totient is φ = 88922111351040.

The previous prime is 121200111012187. The next prime is 121200111012221. The reversal of 121200111012211 is 112210111002121.

It is not a de Polignac number, because 121200111012211 - 2¹¹ = 121200111010163 is a prime.

It is a super-2 number, since 2×121200111012211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121200111012221) 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 95 ways as a sum of consecutive naturals, for example, 57741833640 + ... + 57741835738.

It is an arithmetic number, because the mean of its divisors is an integer number (1667095248000).

Almost surely, 2^{121200111012211} is an apocalyptic number.

121200111012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121200111012211 is a deficient number, since it is larger than the sum of its proper divisors (38841032795789).

121200111012211 is a wasteful number, since it uses less digits than its factorization.

121200111012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3096 counting only the distinct ones).

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

Adding to 121200111012211 its reverse (112210111002121), we get a palindrome (233410222014332).

The spelling of 121200111012211 in words is "one hundred twenty-one trillion, two hundred billion, one hundred eleven million, twelve thousand, two hundred eleven".