11200033302120 has 384 divisors, whose sum is σ = 42627800910240. Its totient is φ = 2524629565440.

The previous prime is 11200033302109. The next prime is 11200033302173. The reversal of 11200033302120 is 2120333000211.

11200033302120 is a `hidden beast` number, since 1 + 120 + 0 + 0 + 3 + 330 + 212 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 408374677764 + 10791658624356 = 639042^2 + 3285066^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11200033302093 and 11200033302102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041360 + ... + 4846080.

Almost surely, 2^{11200033302120} is an apocalyptic number.

11200033302120 is a gapful number since it is divisible by the number (10) 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 11200033302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313900455120).

11200033302120 is an abundant number, since it is smaller than the sum of its proper divisors (31427767608120).

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

11200033302120 is a wasteful number, since it uses less digits than its factorization.

11200033302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804805 (or 3804798 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11200033302120 its reverse (2120333000211), we get a palindrome (13320366302331).

The spelling of 11200033302120 in words is "eleven trillion, two hundred billion, thirty-three million, three hundred two thousand, one hundred twenty".