212114073600 has 2304 divisors, whose sum is σ = 972500256000. Its totient is φ = 44590694400.

The previous prime is 212114073583. The next prime is 212114073707. The reversal of 212114073600 is 6370411212.

212114073600 is a `hidden beast` number, since 2 + 1 + 2 + 11 + 40 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 5732812782 + ... + 5732812818.

It is an arithmetic number, because the mean of its divisors is an integer number (422092125).

Almost surely, 2^212114073600 is an apocalyptic number.

212114073600 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 212114073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128000).

212114073600 is an abundant number, since it is smaller than the sum of its proper divisors (760386182400).

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

212114073600 is a wasteful number, since it uses less digits than its factorization.

212114073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 212114073600 its reverse (6370411212), we get a palindrome (218484484812).

The spelling of 212114073600 in words is "two hundred twelve billion, one hundred fourteen million, seventy-three thousand, six hundred".