11332122004 has 72 divisors (see below), whose sum is σ = 24761094120. Its totient is φ = 4508227584.

The previous prime is 11332121981. The next prime is 11332122007. The reversal of 11332122004 is 40022123311.

It is a happy number.

11332122004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1009968400 + 10322153604 = 31780^2 + 101598^2 .

It is a super-2 number, since 2×11332122004² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219942 + ... + 266530.

It is an arithmetic number, because the mean of its divisors is an integer number (343904085).

Almost surely, 2^11332122004 is an apocalyptic number.

11332122004 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 11332122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380547060).

11332122004 is an abundant number, since it is smaller than the sum of its proper divisors (13428972116).

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

11332122004 is a wasteful number, since it uses less digits than its factorization.

11332122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46697 (or 46688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11332122004 its reverse (40022123311), we get a palindrome (51354245315).

The spelling of 11332122004 in words is "eleven billion, three hundred thirty-two million, one hundred twenty-two thousand, four".