20002012122120 has 256 divisors, whose sum is σ = 73696116418560. Its totient is φ = 4238730473472.

The previous prime is 20002012122119. The next prime is 20002012122151. The reversal of 20002012122120 is 2122121020002.

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 20002012122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9496234 + ... + 11409753.

It is an arithmetic number, because the mean of its divisors is an integer number (287875454760).

Almost surely, 2^{20002012122120} is an apocalyptic number.

20002012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002012122120 is an abundant number, since it is smaller than the sum of its proper divisors (53694104296440).

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

20002012122120 is a wasteful number, since it uses less digits than its factorization.

20002012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20906092 (or 20906088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002012122120 its reverse (2122121020002), we get a palindrome (22124133142122).

The spelling of 20002012122120 in words is "twenty trillion, two billion, twelve million, one hundred twenty-two thousand, one hundred twenty".