214225412000 has 288 divisors, whose sum is σ = 550997581680. Its totient is φ = 81796608000.

The previous prime is 214225411997. The next prime is 214225412021. The reversal of 214225412000 is 214522412.

It can be written as a sum of positive squares in 24 ways, for example, as 173745581584 + 40479830416 = 416828^2 + 201196^2 .

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, 550707806 + ... + 550708194.

Almost surely, 2^214225412000 is an apocalyptic number.

214225412000 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 214225412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498790840).

214225412000 is an abundant number, since it is smaller than the sum of its proper divisors (336772169680).

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

214225412000 is an equidigital number, since it uses as much as digits as its factorization.

214225412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 214225412000 its reverse (214522412), we get a palindrome (214439934412).

The spelling of 214225412000 in words is "two hundred fourteen billion, two hundred twenty-five million, four hundred twelve thousand".