3122223013200 has 240 divisors, whose sum is σ = 10038248600256. Its totient is φ = 829539532800.

The previous prime is 3122223013163. The next prime is 3122223013243. The reversal of 3122223013200 is 23103222213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686653327 + ... + 686657873.

Almost surely, 2^{3122223013200} is an apocalyptic number.

3122223013200 is a gapful number since it is divisible by the number (30) 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 3122223013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019124300128).

3122223013200 is an abundant number, since it is smaller than the sum of its proper divisors (6916025587056).

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

3122223013200 is a wasteful number, since it uses less digits than its factorization.

3122223013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3122223013200 its reverse (23103222213), we get a palindrome (3145326235413).

The spelling of 3122223013200 in words is "three trillion, one hundred twenty-two billion, two hundred twenty-three million, thirteen thousand, two hundred".