212223583353600 has 1728 divisors, whose sum is σ = 990816683673600. Its totient is φ = 43232721960960.

The previous prime is 212223583353557. The next prime is 212223583353601. The reversal of 212223583353600 is 6353385322212.

It is a happy number.

212223583353600 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 3 + 5 + 8 + 3 + 35 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212223583353601) 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 191 ways as a sum of consecutive naturals, for example, 455786509 + ... + 456251891.

Almost surely, 2^{212223583353600} is an apocalyptic number.

212223583353600 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 212223583353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495408341836800).

212223583353600 is an abundant number, since it is smaller than the sum of its proper divisors (778593100320000).

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

212223583353600 is a wasteful number, since it uses less digits than its factorization.

212223583353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465467 (or 465442 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 212223583353600 in words is "two hundred twelve trillion, two hundred twenty-three billion, five hundred eighty-three million, three hundred fifty-three thousand, six hundred".