1121011001205 has 32 divisors (see below), whose sum is σ = 1818563303424. Its totient is φ = 589560685056.

The previous prime is 1121011001119. The next prime is 1121011001219. The reversal of 1121011001205 is 5021001101211.

It is not a de Polignac number, because 1121011001205 - 2²⁵ = 1120977446773 is a prime.

It is a super-2 number, since 2×1121011001205² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5324652 + ... + 5531178.

It is an arithmetic number, because the mean of its divisors is an integer number (56830103232).

Almost surely, 2^{1121011001205} is an apocalyptic number.

1121011001205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1121011001205 is a deficient number, since it is larger than the sum of its proper divisors (697552302219).

1121011001205 is a wasteful number, since it uses less digits than its factorization.

1121011001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211565.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1121011001205 its reverse (5021001101211), we get a palindrome (6142012102416).

The spelling of 1121011001205 in words is "one trillion, one hundred twenty-one billion, eleven million, one thousand, two hundred five".