11353000120 has 192 divisors, whose sum is σ = 32550219360. Its totient is φ = 3523968000.

The previous prime is 11353000093. The next prime is 11353000133. The reversal of 11353000120 is 2100035311.

It is a super-2 number, since 2×11353000120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11353000094 and 11353000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5971170 + ... + 5973070.

Almost surely, 2^11353000120 is an apocalyptic number.

11353000120 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 11353000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275109680).

11353000120 is an abundant number, since it is smaller than the sum of its proper divisors (21197219240).

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

11353000120 is a wasteful number, since it uses less digits than its factorization.

11353000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 11353000120 its reverse (2100035311), we get a palindrome (13453035431).

The spelling of 11353000120 in words is "eleven billion, three hundred fifty-three million, one hundred twenty", and thus it is an aban number.