11202330113120 has 192 divisors, whose sum is σ = 28271032957440. Its totient is φ = 4185409536000.

The previous prime is 11202330113087. The next prime is 11202330113131. The reversal of 11202330113120 is 2131103320211.

It is a happy number.

It is a super-2 number, since 2×11202330113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11202330113092 and 11202330113101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474804044 + ... + 474827636.

It is an arithmetic number, because the mean of its divisors is an integer number (147244963320).

Almost surely, 2^{11202330113120} is an apocalyptic number.

11202330113120 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 11202330113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135516478720).

11202330113120 is an abundant number, since it is smaller than the sum of its proper divisors (17068702844320).

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

11202330113120 is a wasteful number, since it uses less digits than its factorization.

11202330113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26969 (or 26961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11202330113120 its reverse (2131103320211), we get a palindrome (13333433433331).

The spelling of 11202330113120 in words is "eleven trillion, two hundred two billion, three hundred thirty million, one hundred thirteen thousand, one hundred twenty".