212010313120 has 48 divisors (see below), whose sum is σ = 504064707048. Its totient is φ = 84263961600.

The previous prime is 212010313091. The next prime is 212010313121. The reversal of 212010313120 is 21313010212.

It can be written as a sum of positive squares in 4 ways, for example, as 125228223376 + 86782089744 = 353876^2 + 294588^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212010313094 and 212010313103.

It is not an unprimeable number, because it can be changed into a prime (212010313121) 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 7 ways as a sum of consecutive naturals, for example, 4194831 + ... + 4245070.

Almost surely, 2^212010313120 is an apocalyptic number.

212010313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010313120 is an abundant number, since it is smaller than the sum of its proper divisors (292054393928).

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

212010313120 is a wasteful number, since it uses less digits than its factorization.

212010313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440073 (or 8440065 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212010313120 its reverse (21313010212), we get a palindrome (233323323332).

The spelling of 212010313120 in words is "two hundred twelve billion, ten million, three hundred thirteen thousand, one hundred twenty".