120122022101200 has 90 divisors (see below), whose sum is σ = 335710408454646. Its totient is φ = 41184693285120.

The previous prime is 120122022101189. The next prime is 120122022101269. The reversal of 120122022101200 is 2101220221021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30144580006464 + 89977442094736 = 5490408^2 + 9485644^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3064317699 + ... + 3064356898.

Almost surely, 2^{120122022101200} is an apocalyptic number.

120122022101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122022101200 is an abundant number, since it is smaller than the sum of its proper divisors (215588386353446).

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

120122022101200 is a wasteful number, since it uses less digits than its factorization.

120122022101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128674629 (or 6128674611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120122022101200 its reverse (2101220221021), we get a palindrome (122223242322221).

The spelling of 120122022101200 in words is "one hundred twenty trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, two hundred".