11003020323120 has 960 divisors, whose sum is σ = 43456032921600. Its totient is φ = 2443086397440.

The previous prime is 11003020323101. The next prime is 11003020323131. The reversal of 11003020323120 is 2132302030011.

11003020323120 is a `hidden beast` number, since 110 + 0 + 302 + 0 + 3 + 231 + 20 = 666.

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 = 11003020323093 and 11003020323102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17165398000 + ... + 17165398640.

It is an arithmetic number, because the mean of its divisors is an integer number (45266700960).

Almost surely, 2^{11003020323120} is an apocalyptic number.

11003020323120 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 11003020323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728016460800).

11003020323120 is an abundant number, since it is smaller than the sum of its proper divisors (32453012598480).

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

11003020323120 is a wasteful number, since it uses less digits than its factorization.

11003020323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

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

Adding to 11003020323120 its reverse (2132302030011), we get a palindrome (13135322353131).

The spelling of 11003020323120 in words is "eleven trillion, three billion, twenty million, three hundred twenty-three thousand, one hundred twenty".