3120010223200 has 288 divisors, whose sum is σ = 8592736654656. Its totient is φ = 1097607413760.

The previous prime is 3120010223189. The next prime is 3120010223203. The reversal of 3120010223200 is 23220100213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120010223203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61449024 + ... + 61499776.

It is an arithmetic number, because the mean of its divisors is an integer number (29835891162).

Almost surely, 2^{3120010223200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120010223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296368327328).

3120010223200 is an abundant number, since it is smaller than the sum of its proper divisors (5472726431456).

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

3120010223200 is a wasteful number, since it uses less digits than its factorization.

3120010223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51066 (or 51053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3120010223200 its reverse (23220100213), we get a palindrome (3143230323413).

The spelling of 3120010223200 in words is "three trillion, one hundred twenty billion, ten million, two hundred twenty-three thousand, two hundred".