1821214000 has 80 divisors (see below), whose sum is σ = 4522898016. Its totient is φ = 708768000.

The previous prime is 1821213983. The next prime is 1821214013. The reversal of 1821214000 is 4121281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61695 + ... + 86305.

Almost surely, 2^1821214000 is an apocalyptic number.

1821214000 is a gapful number since it is divisible by the number (10) 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 1821214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261449008).

1821214000 is an abundant number, since it is smaller than the sum of its proper divisors (2701684016).

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

1821214000 is a wasteful number, since it uses less digits than its factorization.

1821214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24671 (or 24655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1821214000 is about 42675.6839429669. The cubic root of 1821214000 is about 1221.2005560745.

Adding to 1821214000 its reverse (4121281), we get a palindrome (1825335281).

The spelling of 1821214000 in words is "one billion, eight hundred twenty-one million, two hundred fourteen thousand".