120222212101000 has 64 divisors (see below), whose sum is σ = 281350270309680. Its totient is φ = 48083706380800.

The previous prime is 120222212100919. The next prime is 120222212101003. The reversal of 120222212101000 is 101212222021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4304388388804 + 115917823712196 = 2074702^2 + 10766514^2 .

It is not an unprimeable number, because it can be changed into a prime (120222212101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2824572 + ... + 15761428.

Almost surely, 2^{120222212101000} is an apocalyptic number.

120222212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222212101000 is an abundant number, since it is smaller than the sum of its proper divisors (161128058208680).

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

120222212101000 is a wasteful number, since it uses less digits than its factorization.

120222212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946171 (or 12946157 counting only the distinct ones).

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

Adding to 120222212101000 its reverse (101212222021), we get a palindrome (120323424323021).

The spelling of 120222212101000 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twelve million, one hundred one thousand".