121226082528 has 192 divisors, whose sum is σ = 327661588800. Its totient is φ = 39228653568.

The previous prime is 121226082517. The next prime is 121226082529. The reversal of 121226082528 is 825280622121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121226082529) 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 31 ways as a sum of consecutive naturals, for example, 347352498 + ... + 347352846.

It is an arithmetic number, because the mean of its divisors is an integer number (1706570775).

Almost surely, 2^121226082528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121226082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163830794400).

121226082528 is an abundant number, since it is smaller than the sum of its proper divisors (206435506272).

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

121226082528 is a wasteful number, since it uses less digits than its factorization.

121226082528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 121226082528 in words is "one hundred twenty-one billion, two hundred twenty-six million, eighty-two thousand, five hundred twenty-eight".