120220100221122 has 160 divisors (see below), whose sum is σ = 297393547638528. Its totient is φ = 36295886484000.

The previous prime is 120220100221103. The next prime is 120220100221279. The reversal of 120220100221122 is 221122001022021.

It is a happy number.

120220100221122 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 100 + 221 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120220100221095 and 120220100221104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57404872 + ... + 59462252.

Almost surely, 2^{120220100221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220100221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148696773819264).

120220100221122 is an abundant number, since it is smaller than the sum of its proper divisors (177173447417406).

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

120220100221122 is a wasteful number, since it uses less digits than its factorization.

120220100221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057699 (or 2057668 counting only the distinct ones).

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

Adding to 120220100221122 its reverse (221122001022021), we get a palindrome (341342101243143).

The spelling of 120220100221122 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".