120221203221300 has 288 divisors, whose sum is σ = 350610359500800. Its totient is φ = 31804891543040.

The previous prime is 120221203221281. The next prime is 120221203221323. The reversal of 120221203221300 is 3122302122021.

It is a super-2 number, since 2×120221203221300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25926502582 + ... + 25926507218.

It is an arithmetic number, because the mean of its divisors is an integer number (1217397081600).

Almost surely, 2^{120221203221300} is an apocalyptic number.

120221203221300 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 120221203221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175305179750400).

120221203221300 is an abundant number, since it is smaller than the sum of its proper divisors (230389156279500).

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

120221203221300 is a wasteful number, since it uses less digits than its factorization.

120221203221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120221203221300 its reverse (3122302122021), we get a palindrome (123343505343321).

The spelling of 120221203221300 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred three million, two hundred twenty-one thousand, three hundred".