11001020001120 has 288 divisors, whose sum is σ = 40524000753600. Its totient is φ = 2709296443392.

The previous prime is 11001020001077. The next prime is 11001020001193. The reversal of 11001020001120 is 2110002010011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4766355 + ... + 6687314.

It is an arithmetic number, because the mean of its divisors is an integer number (140708335950).

Almost surely, 2^{11001020001120} is an apocalyptic number.

11001020001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001020001120 is an abundant number, since it is smaller than the sum of its proper divisors (29522980752480).

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

11001020001120 is a wasteful number, since it uses less digits than its factorization.

11001020001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453742 (or 11453731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001020001120 its reverse (2110002010011), we get a palindrome (13111022011131).

The spelling of 11001020001120 in words is "eleven trillion, one billion, twenty million, one thousand, one hundred twenty".