121211711208 has 72 divisors (see below), whose sum is σ = 381878744130. Its totient is φ = 34631916480.

The previous prime is 121211711167. The next prime is 121211711209. The reversal of 121211711208 is 802117112121.

121211711208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93001821444 + 28209889764 = 304962^2 + 167958^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (121211711209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17175003 + ... + 17182058.

Almost surely, 2^121211711208 is an apocalyptic number.

121211711208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121211711208 is an abundant number, since it is smaller than the sum of its proper divisors (260667032922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121211711208 is a wasteful number, since it uses less digits than its factorization.

121211711208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34357087 (or 34357073 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 121211711208 its reverse (802117112121), we get a palindrome (923328823329).

The spelling of 121211711208 in words is "one hundred twenty-one billion, two hundred eleven million, seven hundred eleven thousand, two hundred eight".