2120385075120 has 1600 divisors, whose sum is σ = 8784037785600. Its totient is φ = 469038366720.

The previous prime is 2120385075103. The next prime is 2120385075163. The reversal of 2120385075120 is 215705830212.

2120385075120 is a `hidden beast` number, since 2 + 1 + 20 + 3 + 8 + 507 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8798278200 + ... + 8798278440.

It is an arithmetic number, because the mean of its divisors is an integer number (5490023616).

Almost surely, 2^{2120385075120} is an apocalyptic number.

2120385075120 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 2120385075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392018892800).

2120385075120 is an abundant number, since it is smaller than the sum of its proper divisors (6663652710480).

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

2120385075120 is a wasteful number, since it uses less digits than its factorization.

2120385075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2120385075120 in words is "two trillion, one hundred twenty billion, three hundred eighty-five million, seventy-five thousand, one hundred twenty".