21232241012400 has 480 divisors, whose sum is σ = 78371722936320. Its totient is φ = 4865325696000.

The previous prime is 21232241012383. The next prime is 21232241012429. The reversal of 21232241012400 is 421014223212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16992261 + ... + 18198939.

It is an arithmetic number, because the mean of its divisors is an integer number (163274422784).

Almost surely, 2^{21232241012400} is an apocalyptic number.

21232241012400 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 21232241012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39185861468160).

21232241012400 is an abundant number, since it is smaller than the sum of its proper divisors (57139481923920).

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

21232241012400 is a wasteful number, since it uses less digits than its factorization.

21232241012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206785 (or 1206774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21232241012400 its reverse (421014223212), we get a palindrome (21653255235612).

The spelling of 21232241012400 in words is "twenty-one trillion, two hundred thirty-two billion, two hundred forty-one million, twelve thousand, four hundred".