11123000102220 has 192 divisors, whose sum is σ = 33905413527552. Its totient is φ = 2713512960000.

The previous prime is 11123000102219. The next prime is 11123000102273. The reversal of 11123000102220 is 2220100032111.

It is a super-2 number, since 2×11123000102220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11123000102220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10842495 + ... + 11823945.

It is an arithmetic number, because the mean of its divisors is an integer number (176590695456).

Almost surely, 2^{11123000102220} is an apocalyptic number.

11123000102220 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 11123000102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952706763776).

11123000102220 is an abundant number, since it is smaller than the sum of its proper divisors (22782413425332).

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

11123000102220 is a wasteful number, since it uses less digits than its factorization.

11123000102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981792 (or 981790 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11123000102220 its reverse (2220100032111), we get a palindrome (13343100134331).

The spelling of 11123000102220 in words is "eleven trillion, one hundred twenty-three billion, one hundred two thousand, two hundred twenty".