21304267123200 has 480 divisors, whose sum is σ = 73328422305600. Its totient is φ = 5445734891520.

The previous prime is 21304267123187. The next prime is 21304267123241. The reversal of 21304267123200 is 232176240312.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154721584 + ... + 154859216.

It is an arithmetic number, because the mean of its divisors is an integer number (152767546470).

Almost surely, 2^{21304267123200} is an apocalyptic number.

21304267123200 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 21304267123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664211152800).

21304267123200 is an abundant number, since it is smaller than the sum of its proper divisors (52024155182400).

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

21304267123200 is a wasteful number, since it uses less digits than its factorization.

21304267123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137832 (or 137811 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 21304267123200 in words is "twenty-one trillion, three hundred four billion, two hundred sixty-seven million, one hundred twenty-three thousand, two hundred".