214021214000 has 160 divisors (see below), whose sum is σ = 565051548672. Its totient is φ = 77756640000.

The previous prime is 214021213981. The next prime is 214021214003. The reversal of 214021214000 is 412120412.

It is a self number, because there is not a number n which added to its sum of digits gives 214021214000.

It is not an unprimeable number, because it can be changed into a prime (214021214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29190335 + ... + 29197665.

Almost surely, 2^214021214000 is an apocalyptic number.

214021214000 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 214021214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282525774336).

214021214000 is an abundant number, since it is smaller than the sum of its proper divisors (351030334672).

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

214021214000 is a wasteful number, since it uses less digits than its factorization.

214021214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 214021214000 its reverse (412120412), we get a palindrome (214433334412).

The spelling of 214021214000 in words is "two hundred fourteen billion, twenty-one million, two hundred fourteen thousand".