2120872666600 has 96 divisors (see below), whose sum is σ = 4977316476000. Its totient is φ = 840388919040.

The previous prime is 2120872666567. The next prime is 2120872666603. The reversal of 2120872666600 is 66662780212.

It is not an unprimeable number, because it can be changed into a prime (2120872666603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162599679 + ... + 162612721.

It is an arithmetic number, because the mean of its divisors is an integer number (51847046625).

Almost surely, 2^{2120872666600} is an apocalyptic number.

2120872666600 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 2120872666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488658238000).

2120872666600 is an abundant number, since it is smaller than the sum of its proper divisors (2856443809400).

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

2120872666600 is a wasteful number, since it uses less digits than its factorization.

2120872666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20627 (or 20618 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 2120872666600 in words is "two trillion, one hundred twenty billion, eight hundred seventy-two million, six hundred sixty-six thousand, six hundred".