1122122211001 has 48 divisors (see below), whose sum is σ = 1272037478544. Its totient is φ = 988796160000.

The previous prime is 1122122210971. The next prime is 1122122211073. The reversal of 1122122211001 is 1001122212211.

It can be written as a sum of positive squares in 8 ways, for example, as 208040893225 + 914081317776 = 456115^2 + 956076^2 .

It is not a de Polignac number, because 1122122211001 - 2⁷ = 1122122210873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122122241001) 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 47 ways as a sum of consecutive naturals, for example, 122217631 + ... + 122226811.

It is an arithmetic number, because the mean of its divisors is an integer number (26500780803).

Almost surely, 2^{1122122211001} is an apocalyptic number.

1122122211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122122211001 is a deficient number, since it is larger than the sum of its proper divisors (149915267543).

1122122211001 is a wasteful number, since it uses less digits than its factorization.

1122122211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122122211001 its reverse (1001122212211), we get a palindrome (2123244423212).

It can be divided in two parts, 11221 and 22211001, that added together give a palindrome (22222222).

The spelling of 1122122211001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one".