11200010211120 has 40 divisors (see below), whose sum is σ = 34720031655216. Its totient is φ = 2986669389568.

The previous prime is 11200010211113. The next prime is 11200010211151. The reversal of 11200010211120 is 2111201000211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200010211096 and 11200010211105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23333354367 + ... + 23333354846.

Almost surely, 2^{11200010211120} is an apocalyptic number.

11200010211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200010211120 is an abundant number, since it is smaller than the sum of its proper divisors (23520021444096).

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

11200010211120 is a wasteful number, since it uses less digits than its factorization.

11200010211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46666709229 (or 46666709223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200010211120 its reverse (2111201000211), we get a palindrome (13311211211331).

The spelling of 11200010211120 in words is "eleven trillion, two hundred billion, ten million, two hundred eleven thousand, one hundred twenty".