120222212000020 has 48 divisors (see below), whose sum is σ = 271953586129680. Its totient is φ = 44378894140416.

The previous prime is 120222212000017. The next prime is 120222212000053. The reversal of 120222212000020 is 20000212222021.

It can be written as a sum of positive squares in 8 ways, for example, as 428705419536 + 119793506580484 = 654756^2 + 10945022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120222211999958 and 120222212000003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55421665 + ... + 57550024.

It is an arithmetic number, because the mean of its divisors is an integer number (5665699711035).

Almost surely, 2^{120222212000020} is an apocalyptic number.

120222212000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222212000020 is an abundant number, since it is smaller than the sum of its proper divisors (151731374129660).

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

120222212000020 is a wasteful number, since it uses less digits than its factorization.

120222212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112975804 (or 112975802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120222212000020 its reverse (20000212222021), we get a palindrome (140222424222041).

The spelling of 120222212000020 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twelve million, twenty", and thus it is an aban number.