11200122720 has 336 divisors, whose sum is σ = 40029664752. Its totient is φ = 2959856640.

The previous prime is 11200122673. The next prime is 11200122743. The reversal of 11200122720 is 2722100211.

It is a happy number.

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 = 11200122693 and 11200122702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15279474 + ... + 15280206.

It is an arithmetic number, because the mean of its divisors is an integer number (119135907).

Almost surely, 2^11200122720 is an apocalyptic number.

11200122720 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 11200122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014832376).

11200122720 is an abundant number, since it is smaller than the sum of its proper divisors (28829542032).

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

11200122720 is an equidigital number, since it uses as much as digits as its factorization.

11200122720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 11200122720 its reverse (2722100211), we get a palindrome (13922222931).

The spelling of 11200122720 in words is "eleven billion, two hundred million, one hundred twenty-two thousand, seven hundred twenty".