2119300128000 has 1728 divisors, whose sum is σ = 8855210407680. Its totient is φ = 481296384000.

The previous prime is 2119300127993. The next prime is 2119300128053. The reversal of 2119300128000 is 8210039112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8246303872 + ... + 8246304128.

It is an arithmetic number, because the mean of its divisors is an integer number (5124543060).

Almost surely, 2^{2119300128000} is an apocalyptic number.

2119300128000 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 2119300128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427605203840).

2119300128000 is an abundant number, since it is smaller than the sum of its proper divisors (6735910279680).

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

2119300128000 is a wasteful number, since it uses less digits than its factorization.

2119300128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 2119300128000 in words is "two trillion, one hundred nineteen billion, three hundred million, one hundred twenty-eight thousand".