11003011442120 has 32 divisors (see below), whose sum is σ = 24882444675000. Its totient is φ = 4378863433728.

The previous prime is 11003011442083. The next prime is 11003011442141. The reversal of 11003011442120 is 2124411030011.

It can be written as a sum of positive squares in 4 ways, for example, as 10766654062564 + 236357379556 = 3281258^2 + 486166^2 .

It is a super-2 number, since 2×11003011442120² (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 = 11003011442092 and 11003011442101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698152745 + ... + 698168504.

Almost surely, 2^{11003011442120} is an apocalyptic number.

11003011442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003011442120 is an abundant number, since it is smaller than the sum of its proper divisors (13879433232880).

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

11003011442120 is a wasteful number, since it uses less digits than its factorization.

11003011442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396321457 (or 1396321453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11003011442120 its reverse (2124411030011), we get a palindrome (13127422472131).

The spelling of 11003011442120 in words is "eleven trillion, three billion, eleven million, four hundred forty-two thousand, one hundred twenty".