2120011200000 has 1440 divisors, whose sum is σ = 8243190027072. Its totient is φ = 523100160000.

The previous prime is 2120011199989. The next prime is 2120011200079. The reversal of 2120011200000 is 21100212.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 12254399914 + ... + 12254400086.

Almost surely, 2^{2120011200000} is an apocalyptic number.

2120011200000 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 2120011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121595013536).

2120011200000 is an abundant number, since it is smaller than the sum of its proper divisors (6123178827072).

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

2120011200000 is an equidigital number, since it uses as much as digits as its factorization.

2120011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120011200000 its reverse (21100212), we get a palindrome (2120032300212).

The spelling of 2120011200000 in words is "two trillion, one hundred twenty billion, eleven million, two hundred thousand".