120220312300 has 288 divisors, whose sum is σ = 302479640064. Its totient is φ = 41390905600.

The previous prime is 120220312253. The next prime is 120220312307. The reversal of 120220312300 is 3213022021.

It is not an unprimeable number, because it can be changed into a prime (120220312307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529604787 + ... + 529605013.

It is an arithmetic number, because the mean of its divisors is an integer number (1050276528).

Almost surely, 2^120220312300 is an apocalyptic number.

120220312300 is a gapful number since it is divisible by the number (10) 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 120220312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151239820032).

120220312300 is an abundant number, since it is smaller than the sum of its proper divisors (182259327764).

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

120220312300 is a wasteful number, since it uses less digits than its factorization.

120220312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

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

Adding to 120220312300 its reverse (3213022021), we get a palindrome (123433334321).

The spelling of 120220312300 in words is "one hundred twenty billion, two hundred twenty million, three hundred twelve thousand, three hundred".