120221221120 has 576 divisors, whose sum is σ = 390889981440. Its totient is φ = 34209792000.

The previous prime is 120221221097. The next prime is 120221221157. The reversal of 120221221120 is 21122122021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 120221221094 and 120221221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129408816 + ... + 129409744.

It is an arithmetic number, because the mean of its divisors is an integer number (678628440).

Almost surely, 2^120221221120 is an apocalyptic number.

120221221120 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 120221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195444990720).

120221221120 is an abundant number, since it is smaller than the sum of its proper divisors (270668760320).

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

120221221120 is a wasteful number, since it uses less digits than its factorization.

120221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221221120 its reverse (21122122021), we get a palindrome (141343343141).

Subtracting from 120221221120 its reverse (21122122021), we obtain a palindrome (99099099099).

The spelling of 120221221120 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".