21212928000 has 1152 divisors, whose sum is σ = 89291704320. Its totient is φ = 4976640000.

The previous prime is 21212927993. The next prime is 21212928073. The reversal of 21212928000 is 82921212.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684287985 + ... + 684288015.

It is an arithmetic number, because the mean of its divisors is an integer number (77510160).

Almost surely, 2^21212928000 is an apocalyptic number.

21212928000 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 21212928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44645852160).

21212928000 is an abundant number, since it is smaller than the sum of its proper divisors (68078776320).

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

21212928000 is an equidigital number, since it uses as much as digits as its factorization.

21212928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

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

The spelling of 21212928000 in words is "twenty-one billion, two hundred twelve million, nine hundred twenty-eight thousand".