11302233120 has 432 divisors, whose sum is σ = 41511643992. Its totient is φ = 2797977600.

The previous prime is 11302233077. The next prime is 11302233139. The reversal of 11302233120 is 2133220311.

11302233120 is a `hidden beast` number, since 1 + 130 + 223 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11174181264 + 128051856 = 105708^2 + 11316^2 .

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 = 11302233093 and 11302233102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28184920 + ... + 28185320.

Almost surely, 2^11302233120 is an apocalyptic number.

11302233120 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 11302233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755821996).

11302233120 is an abundant number, since it is smaller than the sum of its proper divisors (30209410872).

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

11302233120 is a wasteful number, since it uses less digits than its factorization.

11302233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 471 counting only the distinct ones).

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

Adding to 11302233120 its reverse (2133220311), we get a palindrome (13435453431).

The spelling of 11302233120 in words is "eleven billion, three hundred two million, two hundred thirty-three thousand, one hundred twenty".