10821312000 has 240 divisors, whose sum is σ = 38978411472. Its totient is φ = 2885529600.

The previous prime is 10821311993. The next prime is 10821312013. The reversal of 10821312000 is 21312801.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566607 + ... + 585393.

Almost surely, 2^10821312000 is an apocalyptic number.

10821312000 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 10821312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489205736).

10821312000 is an abundant number, since it is smaller than the sum of its proper divisors (28157099472).

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

10821312000 is an equidigital number, since it uses as much as digits as its factorization.

10821312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10821312000 its reverse (21312801), we get a palindrome (10842624801).

The spelling of 10821312000 in words is "ten billion, eight hundred twenty-one million, three hundred twelve thousand".