8821121310441 has 32 divisors (see below), whose sum is σ = 14403330480000. Its totient is φ = 5291019325440.

The previous prime is 8821121310437. The next prime is 8821121310487. The reversal of 8821121310441 is 1440131211288.

8821121310441 is a `hidden beast` number, since 8 + 82 + 1 + 1 + 2 + 131 + 0 + 441 = 666.

It is not a de Polignac number, because 8821121310441 - 2² = 8821121310437 is a prime.

It is a super-2 number, since 2×8821121310441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8821121310396 and 8821121310405.

It is not an unprimeable number, because it can be changed into a prime (8821121310401) 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 31 ways as a sum of consecutive naturals, for example, 153067816 + ... + 153125433.

It is an arithmetic number, because the mean of its divisors is an integer number (450104077500).

Almost surely, 2^{8821121310441} is an apocalyptic number.

It is an amenable number.

8821121310441 is a deficient number, since it is larger than the sum of its proper divisors (5582209169559).

8821121310441 is a wasteful number, since it uses less digits than its factorization.

8821121310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306193366 (or 306193360 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 8821121310441 in words is "eight trillion, eight hundred twenty-one billion, one hundred twenty-one million, three hundred ten thousand, four hundred forty-one".