2220120011200 has 252 divisors, whose sum is σ = 6760496400240. Its totient is φ = 702630789120.

The previous prime is 2220120011183. The next prime is 2220120011231. The reversal of 2220120011200 is 21100210222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1306336 + ... + 2479264.

Almost surely, 2^{2220120011200} is an apocalyptic number.

2220120011200 is a gapful number since it is divisible by the number (20) 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 2220120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380248200120).

2220120011200 is an abundant number, since it is smaller than the sum of its proper divisors (4540376389040).

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

2220120011200 is a wasteful number, since it uses less digits than its factorization.

2220120011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172984 (or 1172956 counting only the distinct ones).

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

Adding to 2220120011200 its reverse (21100210222), we get a palindrome (2241220221422).

The spelling of 2220120011200 in words is "two trillion, two hundred twenty billion, one hundred twenty million, eleven thousand, two hundred".