120221210221020 has 288 divisors, whose sum is σ = 373155741504000. Its totient is φ = 31320789696000.

The previous prime is 120221210220983. The next prime is 120221210221039. The reversal of 120221210221020 is 20122012122021.

It is a happy number.

120221210221020 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 210 + 2 + 210 + 20 = 666.

120221210221020 is digitally balanced in base 3, 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 a junction number, because it is equal to n+sod(n) for n = 120221210220984 and 120221210221002.

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, 1156021225 + ... + 1156125215.

It is an arithmetic number, because the mean of its divisors is an integer number (1295679658000).

Almost surely, 2^{120221210221020} is an apocalyptic number.

120221210221020 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 120221210221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186577870752000).

120221210221020 is an abundant number, since it is smaller than the sum of its proper divisors (252934531282980).

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

120221210221020 is a wasteful number, since it uses less digits than its factorization.

120221210221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104777 (or 104772 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221210221020 its reverse (20122012122021), we get a palindrome (140343222343041).

The spelling of 120221210221020 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, twenty".