21123312000 has 512 divisors, whose sum is σ = 81724032000. Its totient is φ = 4824422400.

The previous prime is 21123311981. The next prime is 21123312013. The reversal of 21123312000 is 21332112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16463359 + ... + 16464641.

It is an arithmetic number, because the mean of its divisors is an integer number (159617250).

Almost surely, 2^21123312000 is an apocalyptic number.

21123312000 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 21123312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40862016000).

21123312000 is an abundant number, since it is smaller than the sum of its proper divisors (60600720000).

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

21123312000 is an equidigital number, since it uses as much as digits as its factorization.

21123312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21123312000 its reverse (21332112), we get a palindrome (21144644112).

The spelling of 21123312000 in words is "twenty-one billion, one hundred twenty-three million, three hundred twelve thousand".