120020120222112 has 384 divisors, whose sum is σ = 388877013504000. Its totient is φ = 35708706109440.

The previous prime is 120020120222083. The next prime is 120020120222161. The reversal of 120020120222112 is 211222021020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133949548 + ... + 134842580.

It is an arithmetic number, because the mean of its divisors is an integer number (1012700556000).

Almost surely, 2^{120020120222112} is an apocalyptic number.

120020120222112 is a gapful number since it is divisible by the number (12) 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 120020120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194438506752000).

120020120222112 is an abundant number, since it is smaller than the sum of its proper divisors (268856893281888).

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

120020120222112 is a wasteful number, since it uses less digits than its factorization.

120020120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893321 (or 893307 counting only the distinct ones).

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

Adding to 120020120222112 its reverse (211222021020021), we get a palindrome (331242141242133).

The spelling of 120020120222112 in words is "one hundred twenty trillion, twenty billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".