3120000223200 has 288 divisors, whose sum is σ = 11608582003200. Its totient is φ = 713008896000.

The previous prime is 3120000223141. The next prime is 3120000223213. The reversal of 3120000223200 is 23220000213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3120000223200.

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, 110042626 + ... + 110070974.

It is an arithmetic number, because the mean of its divisors is an integer number (40307576400).

Almost surely, 2^{3120000223200} is an apocalyptic number.

3120000223200 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 3120000223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804291001600).

3120000223200 is an abundant number, since it is smaller than the sum of its proper divisors (8488581780000).

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

3120000223200 is a wasteful number, since it uses less digits than its factorization.

3120000223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34930 (or 34917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3120000223200 its reverse (23220000213), we get a palindrome (3143220223413).

The spelling of 3120000223200 in words is "three trillion, one hundred twenty billion, two hundred twenty-three thousand, two hundred".