11200122122020 has 96 divisors (see below), whose sum is σ = 26823954124800. Its totient is φ = 3891519535104.

The previous prime is 11200122122009. The next prime is 11200122122027. The reversal of 11200122122020 is 2022122100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11200122121985 and 11200122122003.

It is not an unprimeable number, because it can be changed into a prime (11200122122027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26660761 + ... + 27077599.

It is an arithmetic number, because the mean of its divisors is an integer number (279416188800).

Almost surely, 2^{11200122122020} is an apocalyptic number.

11200122122020 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 11200122122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411977062400).

11200122122020 is an abundant number, since it is smaller than the sum of its proper divisors (15623832002780).

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

11200122122020 is a wasteful number, since it uses less digits than its factorization.

11200122122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422957 (or 422955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11200122122020 its reverse (2022122100211), we get a palindrome (13222244222231).

The spelling of 11200122122020 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".