212051400000 has 1008 divisors, whose sum is σ = 816478367040. Its totient is φ = 48153600000.

The previous prime is 212051399969. The next prime is 212051400013. The reversal of 212051400000 is 4150212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2382599956 + ... + 2382600044.

It is an arithmetic number, because the mean of its divisors is an integer number (809998380).

Almost surely, 2^212051400000 is an apocalyptic number.

212051400000 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 212051400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408239183520).

212051400000 is an abundant number, since it is smaller than the sum of its proper divisors (604426967040).

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

212051400000 is an equidigital number, since it uses as much as digits as its factorization.

212051400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 212051400000 its reverse (4150212), we get a palindrome (212055550212).

The spelling of 212051400000 in words is "two hundred twelve billion, fifty-one million, four hundred thousand".