2120256575000 has 384 divisors, whose sum is σ = 5421590496000. Its totient is φ = 774144000000.

The previous prime is 2120256574967. The next prime is 2120256575011. The reversal of 2120256575000 is 5756520212.

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, 4722174776 + ... + 4722175224.

It is an arithmetic number, because the mean of its divisors is an integer number (14118725250).

Almost surely, 2^{2120256575000} is an apocalyptic number.

2120256575000 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 2120256575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710795248000).

2120256575000 is an abundant number, since it is smaller than the sum of its proper divisors (3301333921000).

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

2120256575000 is a wasteful number, since it uses less digits than its factorization.

2120256575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 2120256575000 in words is "two trillion, one hundred twenty billion, two hundred fifty-six million, five hundred seventy-five thousand".