212000120020 has 72 divisors (see below), whose sum is σ = 482681414880. Its totient is φ = 78179437440.

The previous prime is 212000119963. The next prime is 212000120023. The reversal of 212000120020 is 20021000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212000119979 and 212000120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000120023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2702511 + ... + 2779849.

It is an arithmetic number, because the mean of its divisors is an integer number (6703908540).

Almost surely, 2^212000120020 is an apocalyptic number.

212000120020 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 212000120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241340707440).

212000120020 is an abundant number, since it is smaller than the sum of its proper divisors (270681294860).

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

212000120020 is a wasteful number, since it uses less digits than its factorization.

212000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78185 (or 78170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212000120020 its reverse (20021000212), we get a palindrome (232021120232).

The spelling of 212000120020 in words is "two hundred twelve billion, one hundred twenty thousand, twenty".