2130711091200 has 864 divisors, whose sum is σ = 8108391498480. Its totient is φ = 554198630400.

The previous prime is 2130711091189. The next prime is 2130711091207. The reversal of 2130711091200 is 21901170312.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130711091207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510103512 + ... + 510107688.

Almost surely, 2^{2130711091200} is an apocalyptic number.

2130711091200 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 2130711091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054195749240).

2130711091200 is an abundant number, since it is smaller than the sum of its proper divisors (5977680407280).

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

2130711091200 is an equidigital number, since it uses as much as digits as its factorization.

2130711091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 2130711091200 in words is "two trillion, one hundred thirty billion, seven hundred eleven million, ninety-one thousand, two hundred".