121221211248 has 120 divisors (see below), whose sum is σ = 351536190720. Its totient is φ = 38967626880.

The previous prime is 121221211159. The next prime is 121221211249. The reversal of 121221211248 is 842112122121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221211249) 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 23 ways as a sum of consecutive naturals, for example, 365263 + ... + 613073.

It is an arithmetic number, because the mean of its divisors is an integer number (2929468256).

Almost surely, 2^121221211248 is an apocalyptic number.

121221211248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221211248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175768095360).

121221211248 is an abundant number, since it is smaller than the sum of its proper divisors (230314979472).

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

121221211248 is a wasteful number, since it uses less digits than its factorization.

121221211248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247947 (or 247938 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 121221211248 its reverse (842112122121), we get a palindrome (963333333369).

The spelling of 121221211248 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred forty-eight".