9821412000 has 240 divisors, whose sum is σ = 36049045032. Its totient is φ = 2618956800.

The previous prime is 9821411993. The next prime is 9821412017. The reversal of 9821412000 is 2141289.

It can be written as a sum of positive squares in 4 ways, for example, as 5147775504 + 4673636496 = 71748^2 + 68364^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308844 + ... + 339156.

Almost surely, 2^9821412000 is an apocalyptic number.

9821412000 is a gapful number since it is divisible by the number (90) 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 9821412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024522516).

9821412000 is an abundant number, since it is smaller than the sum of its proper divisors (26227633032).

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

9821412000 is a wasteful number, since it uses less digits than its factorization.

9821412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30350 (or 30323 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9821412000 is about 99103.0372894797. The cubic root of 9821412000 is about 2141.5323697291.

Adding to 9821412000 its reverse (2141289), we get a palindrome (9823553289).

It can be divided in two parts, 9821 and 412000, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 9821412000 in words is "nine billion, eight hundred twenty-one million, four hundred twelve thousand".