2005420121000 has 64 divisors (see below), whose sum is σ = 4693591403280. Its totient is φ = 802012780800.

The previous prime is 2005420120909. The next prime is 2005420121053. The reversal of 2005420121000 is 1210245002.

It can be written as a sum of positive squares in 8 ways, for example, as 13601623876 + 1991818497124 = 116626^2 + 1411318^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2005420121000.

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, 5045534 + ... + 5428466.

Almost surely, 2^{2005420121000} is an apocalyptic number.

2005420121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005420121000 is an abundant number, since it is smaller than the sum of its proper divisors (2688171282280).

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

2005420121000 is a wasteful number, since it uses less digits than its factorization.

2005420121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388191 (or 388177 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 2005420121000 its reverse (1210245002), we get a palindrome (2006630366002).

The spelling of 2005420121000 in words is "two trillion, five billion, four hundred twenty million, one hundred twenty-one thousand".