1221055311041 has 16 divisors (see below), whose sum is σ = 1275832664400. Its totient is φ = 1167461268480.

The previous prime is 1221055311029. The next prime is 1221055311067. The reversal of 1221055311041 is 1401135501221.

It can be written as a sum of positive squares in 8 ways, for example, as 133458702400 + 1087596608641 = 365320^2 + 1042879^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221055311041 - 2¹⁰ = 1221055310017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221055311041.

It is not an unprimeable number, because it can be changed into a prime (1221055311071) 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 15 ways as a sum of consecutive naturals, for example, 2109725 + ... + 2625461.

It is an arithmetic number, because the mean of its divisors is an integer number (79739541525).

Almost surely, 2^{1221055311041} is an apocalyptic number.

It is an amenable number.

1221055311041 is a deficient number, since it is larger than the sum of its proper divisors (54777353359).

1221055311041 is a wasteful number, since it uses less digits than its factorization.

1221055311041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516884.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 1221055311041 in words is "one trillion, two hundred twenty-one billion, fifty-five million, three hundred eleven thousand, forty-one".