21233122400 has 144 divisors (see below), whose sum is σ = 62725422816. Its totient is φ = 6851665920.

The previous prime is 21233122397. The next prime is 21233122411. The reversal of 21233122400 is 422133212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16319 + ... + 206718.

It is an arithmetic number, because the mean of its divisors is an integer number (435593214).

Almost surely, 2^21233122400 is an apocalyptic number.

21233122400 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 21233122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31362711408).

21233122400 is an abundant number, since it is smaller than the sum of its proper divisors (41492300416).

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

21233122400 is a wasteful number, since it uses less digits than its factorization.

21233122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223081 (or 223068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21233122400 its reverse (422133212), we get a palindrome (21655255612).

The spelling of 21233122400 in words is "twenty-one billion, two hundred thirty-three million, one hundred twenty-two thousand, four hundred".