1122201133001 has 8 divisors (see below), whose sum is σ = 1279613961864. Its totient is φ = 974943970560.

The previous prime is 1122201132991. The next prime is 1122201133021. The reversal of 1122201133001 is 1003311022211.

It can be written as a sum of positive squares in 4 ways, for example, as 8545153600 + 1113655979401 = 92440^2 + 1055299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1122201133001 - 2¹⁰ = 1122201131977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122201133021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2538916370 + ... + 2538916811.

It is an arithmetic number, because the mean of its divisors is an integer number (159951745233).

Almost surely, 2^{1122201133001} is an apocalyptic number.

It is an amenable number.

1122201133001 is a deficient number, since it is larger than the sum of its proper divisors (157412828863).

1122201133001 is a wasteful number, since it uses less digits than its factorization.

1122201133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077833211.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1122201133001 its reverse (1003311022211), we get a palindrome (2125512155212).

The spelling of 1122201133001 in words is "one trillion, one hundred twenty-two billion, two hundred one million, one hundred thirty-three thousand, one".