212003020320 has 768 divisors, whose sum is σ = 862402609152. Its totient is φ = 42580131840.

The previous prime is 212003020301. The next prime is 212003020321. The reversal of 212003020320 is 23020300212.

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 212003020320.

It is not an unprimeable number, because it can be changed into a prime (212003020321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75958125 + ... + 75960915.

It is an arithmetic number, because the mean of its divisors is an integer number (1122920064).

Almost surely, 2^212003020320 is an apocalyptic number.

212003020320 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 212003020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431201304576).

212003020320 is an abundant number, since it is smaller than the sum of its proper divisors (650399588832).

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

212003020320 is a wasteful number, since it uses less digits than its factorization.

212003020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212003020320 its reverse (23020300212), we get a palindrome (235023320532).

The spelling of 212003020320 in words is "two hundred twelve billion, three million, twenty thousand, three hundred twenty".