120212002002200 has 192 divisors, whose sum is σ = 304458568166400. Its totient is φ = 43973475955200.

The previous prime is 120212002002151. The next prime is 120212002002221. The reversal of 120212002002200 is 2200200212021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45481367 + ... + 48051833.

It is an arithmetic number, because the mean of its divisors is an integer number (1585721709200).

Almost surely, 2^{120212002002200} is an apocalyptic number.

120212002002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212002002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152229284083200).

120212002002200 is an abundant number, since it is smaller than the sum of its proper divisors (184246566164200).

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

120212002002200 is a wasteful number, since it uses less digits than its factorization.

120212002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570930 (or 2570921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120212002002200 its reverse (2200200212021), we get a palindrome (122412202214221).

The spelling of 120212002002200 in words is "one hundred twenty trillion, two hundred twelve billion, two million, two thousand, two hundred".