212071104000 has 960 divisors, whose sum is σ = 881308771200. Its totient is φ = 48011673600.

The previous prime is 212071103989. The next prime is 212071104013. The reversal of 212071104000 is 401170212.

212071104000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 600767824 + ... + 600768176.

It is an arithmetic number, because the mean of its divisors is an integer number (918029970).

Almost surely, 2^212071104000 is an apocalyptic number.

212071104000 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 212071104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440654385600).

212071104000 is an abundant number, since it is smaller than the sum of its proper divisors (669237667200).

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

212071104000 is a wasteful number, since it uses less digits than its factorization.

212071104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 212071104000 its reverse (401170212), we get a palindrome (212472274212).

The spelling of 212071104000 in words is "two hundred twelve billion, seventy-one million, one hundred four thousand".