5210212120 has 128 divisors (see below), whose sum is σ = 12276230400. Its totient is φ = 1988845056.

The previous prime is 5210212087. The next prime is 5210212127. The reversal of 5210212120 is 212120125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5210212094 and 5210212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210212127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13123762 + ... + 13124158.

It is an arithmetic number, because the mean of its divisors is an integer number (95908050).

Almost surely, 2^5210212120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138115200).

5210212120 is an abundant number, since it is smaller than the sum of its proper divisors (7066018280).

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

5210212120 is a wasteful number, since it uses less digits than its factorization.

5210212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5210212120 is about 72181.7990909066. The cubic root of 5210212120 is about 1733.6115892865.

Adding to 5210212120 its reverse (212120125), we get a palindrome (5422332245).

The spelling of 5210212120 in words is "five billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".