212434583961600 has 4320 divisors, whose sum is σ = 1066563119591424. Its totient is φ = 38959526707200.

The previous prime is 212434583961583. The next prime is 212434583961629. The reversal of 212434583961600 is 6169385434212.

It is a happy number.

212434583961600 is a `hidden beast` number, since 2 + 1 + 2 + 43 + 4 + 58 + 396 + 160 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 84871985949 + ... + 84871988451.

Almost surely, 2^{212434583961600} is an apocalyptic number.

212434583961600 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 212434583961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533281559795712).

212434583961600 is an abundant number, since it is smaller than the sum of its proper divisors (854128535629824).

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

212434583961600 is a wasteful number, since it uses less digits than its factorization.

212434583961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 212434583961600 in words is "two hundred twelve trillion, four hundred thirty-four billion, five hundred eighty-three million, nine hundred sixty-one thousand, six hundred".