11122210012004 has 288 divisors, whose sum is σ = 26860258656000. Its totient is φ = 3975617479680.

The previous prime is 11122210012003. The next prime is 11122210012019. The reversal of 11122210012004 is 40021001222111.

11122210012004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11122210012004² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122210012003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388588814 + ... + 388617434.

It is an arithmetic number, because the mean of its divisors is an integer number (93264787000).

Almost surely, 2^{11122210012004} is an apocalyptic number.

11122210012004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122210012004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430129328000).

11122210012004 is an abundant number, since it is smaller than the sum of its proper divisors (15738048643996).

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

11122210012004 is a wasteful number, since it uses less digits than its factorization.

11122210012004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29043 (or 29034 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11122210012004 its reverse (40021001222111), we get a palindrome (51143211234115).

The spelling of 11122210012004 in words is "eleven trillion, one hundred twenty-two billion, two hundred ten million, twelve thousand, four".