120122212202000 has 80 divisors (see below), whose sum is σ = 295935801990192. Its totient is φ = 47142302105600.

The previous prime is 120122212201991. The next prime is 120122212202021. The reversal of 120122212202000 is 202212221021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62927538905344 + 57194673296656 = 7932688^2 + 7562716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 120122212202000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566508209 + ... + 566720208.

Almost surely, 2^{120122212202000} is an apocalyptic number.

120122212202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122212202000 is an abundant number, since it is smaller than the sum of its proper divisors (175813589788192).

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

120122212202000 is a wasteful number, since it uses less digits than its factorization.

120122212202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133228493 (or 1133228477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120122212202000 its reverse (202212221021), we get a palindrome (120324424423021).

The spelling of 120122212202000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, two hundred two thousand".