2120313122200 has 384 divisors, whose sum is σ = 6224710343040. Its totient is φ = 653690880000.

The previous prime is 2120313122149. The next prime is 2120313122227. The reversal of 2120313122200 is 22213130212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612628470 + ... + 612631930.

It is an arithmetic number, because the mean of its divisors is an integer number (16210183185).

Almost surely, 2^{2120313122200} is an apocalyptic number.

2120313122200 is a gapful number since it is divisible by the number (20) 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 2120313122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112355171520).

2120313122200 is an abundant number, since it is smaller than the sum of its proper divisors (4104397220840).

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

2120313122200 is a wasteful number, since it uses less digits than its factorization.

2120313122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2120313122200 its reverse (22213130212), we get a palindrome (2142526252412).

The spelling of 2120313122200 in words is "two trillion, one hundred twenty billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred".