212104303488000 has 6336 divisors, whose sum is σ = 1018100883631104. Its totient is φ = 43093721088000.

The previous prime is 212104303487933. The next prime is 212104303488137. The reversal of 212104303488000 is 884303401212.

It is a happy number.

212104303488000 is a `hidden beast` number, since 2 + 1 + 210 + 430 + 3 + 4 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×212104303488000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2186642303952 + ... + 2186642304048.

Almost surely, 2^{212104303488000} is an apocalyptic number.

212104303488000 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 212104303488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509050441815552).

212104303488000 is an abundant number, since it is smaller than the sum of its proper divisors (805996580143104).

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

212104303488000 is an equidigital number, since it uses as much as digits as its factorization.

212104303488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 212104303488000 its reverse (884303401212), we get a palindrome (212988606889212).

The spelling of 212104303488000 in words is "two hundred twelve trillion, one hundred four billion, three hundred three million, four hundred eighty-eight thousand".