212575224240 has 480 divisors, whose sum is σ = 736825340160. Its totient is φ = 54907766784.

The previous prime is 212575224233. The next prime is 212575224283. The reversal of 212575224240 is 42422575212.

212575224240 is a `hidden beast` number, since 2 + 1 + 2 + 57 + 522 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212575224195 and 212575224204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1304142399 + ... + 1304142561.

It is an arithmetic number, because the mean of its divisors is an integer number (1535052792).

Almost surely, 2^212575224240 is an apocalyptic number.

212575224240 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 212575224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368412670080).

212575224240 is an abundant number, since it is smaller than the sum of its proper divisors (524250115920).

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

212575224240 is a wasteful number, since it uses less digits than its factorization.

212575224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 212575224240 its reverse (42422575212), we get a palindrome (254997799452).

The spelling of 212575224240 in words is "two hundred twelve billion, five hundred seventy-five million, two hundred twenty-four thousand, two hundred forty".