2005200201120 has 96 divisors (see below), whose sum is σ = 6591005914752. Its totient is φ = 511471352832.

The previous prime is 2005200201113. The next prime is 2005200201157. The reversal of 2005200201120 is 211020025002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2005200201120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2005200201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90804187 + ... + 90826266.

It is an arithmetic number, because the mean of its divisors is an integer number (68656311612).

Almost surely, 2^{2005200201120} is an apocalyptic number.

2005200201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005200201120 is an abundant number, since it is smaller than the sum of its proper divisors (4585805713632).

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

2005200201120 is a wasteful number, since it uses less digits than its factorization.

2005200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181630494 (or 181630486 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 2005200201120 its reverse (211020025002), we get a palindrome (2216220226122).

The spelling of 2005200201120 in words is "two trillion, five billion, two hundred million, two hundred one thousand, one hundred twenty".