1221134311221 has 96 divisors (see below), whose sum is σ = 1877005140864. Its totient is φ = 704953497600.

The previous prime is 1221134311211. The next prime is 1221134311237.

1221134311221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1221134311221 - 2⁹ = 1221134310709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1221134311191 and 1221134311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221134311211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134318886 + ... + 134327976.

It is an arithmetic number, because the mean of its divisors is an integer number (19552136884).

Almost surely, 2^{1221134311221} is an apocalyptic number.

1221134311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221134311221 is a deficient number, since it is larger than the sum of its proper divisors (655870829643).

1221134311221 is a wasteful number, since it uses less digits than its factorization.

1221134311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9352 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The spelling of 1221134311221 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-four million, three hundred eleven thousand, two hundred twenty-one".