2120202112000 has 176 divisors, whose sum is σ = 6045077383488. Its totient is φ = 726926131200.

The previous prime is 2120202111977. The next prime is 2120202112001. The reversal of 2120202112000 is 2112020212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2120202112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287149 + ... + 2079148.

It is an arithmetic number, because the mean of its divisors is an integer number (34347030588).

Almost surely, 2^{2120202112000} is an apocalyptic number.

2120202112000 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 2120202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022538691744).

2120202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3924875271488).

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

2120202112000 is an equidigital number, since it uses as much as digits as its factorization.

2120202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366339 (or 2366311 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120202112000 its reverse (2112020212), we get a palindrome (2122314132212).

The spelling of 2120202112000 in words is "two trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand".