2120006321160 has 512 divisors, whose sum is σ = 7998943518720. Its totient is φ = 437610700800.

The previous prime is 2120006321129. The next prime is 2120006321183. The reversal of 2120006321160 is 611236000212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2120006321160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101556484 + ... + 101577356.

It is an arithmetic number, because the mean of its divisors is an integer number (15622936560).

Almost surely, 2^{2120006321160} is an apocalyptic number.

2120006321160 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 2120006321160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999471759360).

2120006321160 is an abundant number, since it is smaller than the sum of its proper divisors (5878937197560).

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

2120006321160 is a wasteful number, since it uses less digits than its factorization.

2120006321160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21109 (or 21105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 2120006321160 in words is "two trillion, one hundred twenty billion, six million, three hundred twenty-one thousand, one hundred sixty".