120022020000168 has 128 divisors (see below), whose sum is σ = 352565073100800. Its totient is φ = 33567560006400.

The previous prime is 120022020000167. The next prime is 120022020000173. The reversal of 120022020000168 is 861000020220021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120022020000167) 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 31 ways as a sum of consecutive naturals, for example, 20304313 + ... + 25540343.

It is an arithmetic number, because the mean of its divisors is an integer number (2754414633600).

Almost surely, 2^{120022020000168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022020000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176282536550400).

120022020000168 is an abundant number, since it is smaller than the sum of its proper divisors (232543053100632).

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

120022020000168 is a wasteful number, since it uses less digits than its factorization.

120022020000168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242743 (or 5242739 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 120022020000168 its reverse (861000020220021), we get a palindrome (981022040220189).

The spelling of 120022020000168 in words is "one hundred twenty trillion, twenty-two billion, twenty million, one hundred sixty-eight", and thus it is an aban number.