1122001012011 has 32 divisors (see below), whose sum is σ = 1648346307840. Its totient is φ = 673191792000.

The previous prime is 1122001011997. The next prime is 1122001012037. The reversal of 1122001012011 is 1102101002211.

It is not a de Polignac number, because 1122001012011 - 2⁷ = 1122001011883 is a prime.

It is a super-3 number, since 3×1122001012011³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122001012081) 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 31 ways as a sum of consecutive naturals, for example, 46526625 + ... + 46550733.

It is an arithmetic number, because the mean of its divisors is an integer number (51510822120).

Almost surely, 2^{1122001012011} is an apocalyptic number.

1122001012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122001012011 is a deficient number, since it is larger than the sum of its proper divisors (526345295829).

1122001012011 is a wasteful number, since it uses less digits than its factorization.

1122001012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38187.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122001012011 its reverse (1102101002211), we get a palindrome (2224102014222).

It can be divided in two parts, 112200 and 1012011, that added together give a palindrome (1124211).

The spelling of 1122001012011 in words is "one trillion, one hundred twenty-two billion, one million, twelve thousand, eleven".