120122220100122 has 48 divisors (see below), whose sum is σ = 276248281519080. Its totient is φ = 37593261997056.

The previous prime is 120122220100121. The next prime is 120122220100153. The reversal of 120122220100122 is 221001022221021.

It is a happy number.

120122220100122 is a `hidden beast` number, since 1 + 201 + 22 + 220 + 100 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113596182738801 + 6526037361321 = 10658151^2 + 2554611^2 .

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 = 120122220100095 and 120122220100104.

It is not an unprimeable number, because it can be changed into a prime (120122220100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479772493 + ... + 480022800.

Almost surely, 2^{120122220100122} is an apocalyptic number.

120122220100122 is an abundant number, since it is smaller than the sum of its proper divisors (156126061418958).

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

120122220100122 is a wasteful number, since it uses less digits than its factorization.

120122220100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959795727 (or 959795724 counting only the distinct ones).

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

Adding to 120122220100122 its reverse (221001022221021), we get a palindrome (341123242321143).

The spelling of 120122220100122 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thousand, one hundred twenty-two".