212500242400 has 144 divisors (see below), whose sum is σ = 522409157424. Its totient is φ = 84405473280.

The previous prime is 212500242389. The next prime is 212500242419. The reversal of 212500242400 is 4242005212.

It is a congruent number.

It is an unprimeable number.

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, 71959324 + ... + 71962276.

It is an arithmetic number, because the mean of its divisors is an integer number (3627841371).

Almost surely, 2^212500242400 is an apocalyptic number.

212500242400 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 212500242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261204578712).

212500242400 is an abundant number, since it is smaller than the sum of its proper divisors (309908915024).

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

212500242400 is a wasteful number, since it uses less digits than its factorization.

212500242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 212500242400 its reverse (4242005212), we get a palindrome (216742247612).

The spelling of 212500242400 in words is "two hundred twelve billion, five hundred million, two hundred forty-two thousand, four hundred".