20000211210120 has 768 divisors, whose sum is σ = 68754827980800. Its totient is φ = 4641990819840.

The previous prime is 20000211210101. The next prime is 20000211210131. The reversal of 20000211210120 is 2101211200002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20000211210096 and 20000211210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2870702877 + ... + 2870709843.

It is an arithmetic number, because the mean of its divisors is an integer number (89524515600).

Almost surely, 2^{20000211210120} is an apocalyptic number.

20000211210120 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 20000211210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34377413990400).

20000211210120 is an abundant number, since it is smaller than the sum of its proper divisors (48754616770680).

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

20000211210120 is a wasteful number, since it uses less digits than its factorization.

20000211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20000211210120 its reverse (2101211200002), we get a palindrome (22101422410122).

The spelling of 20000211210120 in words is "twenty trillion, two hundred eleven million, two hundred ten thousand, one hundred twenty".