1122121121004 has 144 divisors (see below), whose sum is σ = 3079785028320. Its totient is φ = 342431631360.

The previous prime is 1122121120957. The next prime is 1122121121047. The reversal of 1122121121004 is 4001211212211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 130520434 + ... + 130529030.

It is an arithmetic number, because the mean of its divisors is an integer number (21387396030).

Almost surely, 2^{1122121121004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122121121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539892514160).

1122121121004 is an abundant number, since it is smaller than the sum of its proper divisors (1957663907316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122121121004 is a wasteful number, since it uses less digits than its factorization.

1122121121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122121121004 its reverse (4001211212211), we get a palindrome (5123332333215).

The spelling of 1122121121004 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, four".