120220022210112 has 336 divisors, whose sum is σ = 377568340680960. Its totient is φ = 36270183628800.

The previous prime is 120220022210017. The next prime is 120220022210143. The reversal of 120220022210112 is 211012220022021.

It is a happy number.

120220022210112 is a `hidden beast` number, since 120 + 2 + 200 + 22 + 210 + 112 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8769416314 + ... + 8769430022.

Almost surely, 2^{120220022210112} is an apocalyptic number.

120220022210112 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 120220022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188784170340480).

120220022210112 is an abundant number, since it is smaller than the sum of its proper divisors (257348318470848).

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

120220022210112 is a wasteful number, since it uses less digits than its factorization.

120220022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722 (or 19709 counting only the distinct ones).

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

Adding to 120220022210112 its reverse (211012220022021), we get a palindrome (331232242232133).

The spelling of 120220022210112 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-two million, two hundred ten thousand, one hundred twelve".