120210222200120 has 128 divisors (see below), whose sum is σ = 296054148096000. Its totient is φ = 43661759132160.

The previous prime is 120210222200093. The next prime is 120210222200141. The reversal of 120210222200120 is 21002222012021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733701 + ... + 16531659.

It is an arithmetic number, because the mean of its divisors is an integer number (2312923032000).

Almost surely, 2^{120210222200120} is an apocalyptic number.

120210222200120 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 120210222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148027074048000).

120210222200120 is an abundant number, since it is smaller than the sum of its proper divisors (175843925895880).

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

120210222200120 is a wasteful number, since it uses less digits than its factorization.

120210222200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798333 (or 10798329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120210222200120 its reverse (21002222012021), we get a palindrome (141212444212141).

The spelling of 120210222200120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".