21124353122400 has 288 divisors, whose sum is σ = 79423050849408. Its totient is φ = 4819816652800.

The previous prime is 21124353122359. The next prime is 21124353122401. The reversal of 21124353122400 is 422135342112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124353122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23085462 + ... + 23983061.

It is an arithmetic number, because the mean of its divisors is an integer number (275774482116).

Almost surely, 2^{21124353122400} is an apocalyptic number.

21124353122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124353122400 is an abundant number, since it is smaller than the sum of its proper divisors (58298697727008).

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

21124353122400 is a wasteful number, since it uses less digits than its factorization.

21124353122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47068574 (or 47068561 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21124353122400 its reverse (422135342112), we get a palindrome (21546488464512).

The spelling of 21124353122400 in words is "twenty-one trillion, one hundred twenty-four billion, three hundred fifty-three million, one hundred twenty-two thousand, four hundred".