120222120202000 has 40 divisors (see below), whose sum is σ = 290697086653272. Its totient is φ = 48088848080000.

The previous prime is 120222120201979. The next prime is 120222120202007. The reversal of 120222120202000 is 202021222021.

It can be written as a sum of positive squares in 4 ways, for example, as 2082872422656 + 118139247779344 = 1443216^2 + 10869188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (120222120202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30055528051 + ... + 30055532050.

Almost surely, 2^{120222120202000} is an apocalyptic number.

120222120202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222120202000 is an abundant number, since it is smaller than the sum of its proper divisors (170474966451272).

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

120222120202000 is an equidigital number, since it uses as much as digits as its factorization.

120222120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60111060124 (or 60111060108 counting only the distinct ones).

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

Adding to 120222120202000 its reverse (202021222021), we get a palindrome (120424141424021).

The spelling of 120222120202000 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty million, two hundred two thousand".