120221121122112 has 112 divisors (see below), whose sum is σ = 322580963980800. Its totient is φ = 39507348088320.

The previous prime is 120221121122033. The next prime is 120221121122143. The reversal of 120221121122112 is 211221121122021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291777939 + ... + 292189677.

It is an arithmetic number, because the mean of its divisors is an integer number (2880187178400).

Almost surely, 2^{120221121122112} is an apocalyptic number.

120221121122112 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 120221121122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161290481990400).

120221121122112 is an abundant number, since it is smaller than the sum of its proper divisors (202359842858688).

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

120221121122112 is a wasteful number, since it uses less digits than its factorization.

120221121122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433244 (or 433234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 120221121122112 its reverse (211221121122021), we get a palindrome (331442242244133).

Subtracting 120221121122112 from its reverse (211221121122021), we obtain a palindrome (90999999999909).

The spelling of 120221121122112 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".