2223120013200 has 180 divisors, whose sum is σ = 7980873456660. Its totient is φ = 572389493760.

The previous prime is 2223120013099. The next prime is 2223120013223. The reversal of 2223120013200 is 23100213222.

2223120013200 is a `hidden beast` number, since 2 + 223 + 120 + 0 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36601811856 + 2186518201344 = 191316^2 + 1478688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10542727 + ... + 10751526.

Almost surely, 2^{2223120013200} is an apocalyptic number.

2223120013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223120013200 is an abundant number, since it is smaller than the sum of its proper divisors (5757753443460).

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

2223120013200 is a wasteful number, since it uses less digits than its factorization.

2223120013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21294306 (or 21294292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2223120013200 its reverse (23100213222), we get a palindrome (2246220226422).

The spelling of 2223120013200 in words is "two trillion, two hundred twenty-three billion, one hundred twenty million, thirteen thousand, two hundred".