11223233103000 has 512 divisors, whose sum is σ = 36254604672000. Its totient is φ = 2888828006400.

The previous prime is 11223233102971. The next prime is 11223233103013. The reversal of 11223233103000 is 30133232211.

It is a super-2 number, since 2×11223233103000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7853906286 + ... + 7853907714.

It is an arithmetic number, because the mean of its divisors is an integer number (70809774750).

Almost surely, 2^{11223233103000} is an apocalyptic number.

11223233103000 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 11223233103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127302336000).

11223233103000 is an abundant number, since it is smaller than the sum of its proper divisors (25031371569000).

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

11223233103000 is a wasteful number, since it uses less digits than its factorization.

11223233103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11223233103000 its reverse (30133232211), we get a palindrome (11253366335211).

The spelling of 11223233103000 in words is "eleven trillion, two hundred twenty-three billion, two hundred thirty-three million, one hundred three thousand".