212034310400000 has 576 divisors, whose sum is σ = 586738579452480. Its totient is φ = 75950899200000.

The previous prime is 212034310399999. The next prime is 212034310400039. The reversal of 212034310400000 is 4013430212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716777524 + ... + 4716822476.

It is an arithmetic number, because the mean of its divisors is an integer number (1018643367105).

Almost surely, 2^{212034310400000} is an apocalyptic number.

212034310400000 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 212034310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293369289726240).

212034310400000 is an abundant number, since it is smaller than the sum of its proper divisors (374704269052480).

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

212034310400000 is an frugal number, since it uses more digits than its factorization.

212034310400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45078 (or 45038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212034310400000 its reverse (4013430212), we get a palindrome (212038323830212).

The spelling of 212034310400000 in words is "two hundred twelve trillion, thirty-four billion, three hundred ten million, four hundred thousand".