11200220002120 has 64 divisors (see below), whose sum is σ = 25377164794800. Its totient is φ = 4448753187840.

The previous prime is 11200220002117. The next prime is 11200220002123. The reversal of 11200220002120 is 2120002200211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11200220002117) and next prime (11200220002123).

It can be written as a sum of positive squares in 8 ways, for example, as 1721296768324 + 9478923233796 = 1311982^2 + 3078786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11200220002120.

It is not an unprimeable number, because it can be changed into a prime (11200220002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3758946 + ... + 6044014.

Almost surely, 2^{11200220002120} is an apocalyptic number.

11200220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200220002120 is an abundant number, since it is smaller than the sum of its proper divisors (14176944792680).

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

11200220002120 is a wasteful number, since it uses less digits than its factorization.

11200220002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285938 (or 2285934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11200220002120 its reverse (2120002200211), we get a palindrome (13320222202331).

The spelling of 11200220002120 in words is "eleven trillion, two hundred billion, two hundred twenty million, two thousand, one hundred twenty".