120112120122210 has 144 divisors (see below), whose sum is σ = 326482384737600. Its totient is φ = 30635169973056.

The previous prime is 120112120122209. The next prime is 120112120122217. The reversal of 120112120122210 is 12221021211021.

120112120122210 is a `hidden beast` number, since 1 + 201 + 12 + 120 + 122 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120112120122217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 754967451 + ... + 755126529.

It is an arithmetic number, because the mean of its divisors is an integer number (2267238782900).

Almost surely, 2^{120112120122210} is an apocalyptic number.

120112120122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112120122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163241192368800).

120112120122210 is an abundant number, since it is smaller than the sum of its proper divisors (206370264615390).

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

120112120122210 is a wasteful number, since it uses less digits than its factorization.

120112120122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174997 (or 174971 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112120122210 its reverse (12221021211021), we get a palindrome (132333141333231).

The spelling of 120112120122210 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred ten".