2220120312300 has 864 divisors, whose sum is σ = 8040661364736. Its totient is φ = 507139776000.

The previous prime is 2220120312259. The next prime is 2220120312343. The reversal of 2220120312300 is 32130210222.

2220120312300 is a `hidden beast` number, since 22 + 20 + 12 + 0 + 312 + 300 = 666.

2220120312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 7844947959 + ... + 7844948241.

It is an arithmetic number, because the mean of its divisors is an integer number (9306321024).

Almost surely, 2^{2220120312300} is an apocalyptic number.

2220120312300 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 2220120312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020330682368).

2220120312300 is an abundant number, since it is smaller than the sum of its proper divisors (5820541052436).

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

2220120312300 is a wasteful number, since it uses less digits than its factorization.

2220120312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

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

Adding to 2220120312300 its reverse (32130210222), we get a palindrome (2252250522522).

The spelling of 2220120312300 in words is "two trillion, two hundred twenty billion, one hundred twenty million, three hundred twelve thousand, three hundred".