212253506500 has 192 divisors, whose sum is σ = 534306060288. Its totient is φ = 72154800000.

The previous prime is 212253506447. The next prime is 212253506501. The reversal of 212253506500 is 5605352212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212253506501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269699107 + ... + 269699893.

It is an arithmetic number, because the mean of its divisors is an integer number (2782844064).

Almost surely, 2^212253506500 is an apocalyptic number.

212253506500 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 212253506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267153030144).

212253506500 is an abundant number, since it is smaller than the sum of its proper divisors (322052553788).

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

212253506500 is a wasteful number, since it uses less digits than its factorization.

212253506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 212253506500 its reverse (5605352212), we get a palindrome (217858858712).

The spelling of 212253506500 in words is "two hundred twelve billion, two hundred fifty-three million, five hundred six thousand, five hundred".