120222212110020 has 36 divisors (see below), whose sum is σ = 364674043400940. Its totient is φ = 32059256562624.

The previous prime is 120222212110009. The next prime is 120222212110057. The reversal of 120222212110020 is 20011212222021.

It is a happy number.

120222212110020 is a `hidden beast` number, since 1 + 202 + 222 + 121 + 100 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29518988527044 + 90703223582976 = 5433138^2 + 9523824^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 120222212109975 and 120222212110002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333950589015 + ... + 333950589374.

It is an arithmetic number, because the mean of its divisors is an integer number (10129834538915).

Almost surely, 2^{120222212110020} is an apocalyptic number.

120222212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222212110020 is an abundant number, since it is smaller than the sum of its proper divisors (244451831290920).

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

120222212110020 is a wasteful number, since it uses less digits than its factorization.

120222212110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667901178404 (or 667901178399 counting only the distinct ones).

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

Adding to 120222212110020 its reverse (20011212222021), we get a palindrome (140233424332041).

The spelling of 120222212110020 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, twenty".