1121122312001 has 16 divisors (see below), whose sum is σ = 1225035778560. Its totient is φ = 1023183221760.

The previous prime is 1121122311983. The next prime is 1121122312033. The reversal of 1121122312001 is 1002132211211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121122312001 - 2⁶ = 1121122311937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121122312081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14462240 + ... + 14539553.

It is an arithmetic number, because the mean of its divisors is an integer number (76564736160).

Almost surely, 2^{1121122312001} is an apocalyptic number.

It is an amenable number.

1121122312001 is a deficient number, since it is larger than the sum of its proper divisors (103913466559).

1121122312001 is a wasteful number, since it uses less digits than its factorization.

1121122312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29001896.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1121122312001 its reverse (1002132211211), we get a palindrome (2123254523212).

The spelling of 1121122312001 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, one".