21234012223200 has 288 divisors, whose sum is σ = 78999022738944. Its totient is φ = 4852966410240.

The previous prime is 21234012223187. The next prime is 21234012223261. The reversal of 21234012223200 is 232221043212.

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

It is a congruent number.

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, 168558637 + ... + 168684563.

It is an arithmetic number, because the mean of its divisors is an integer number (274302162288).

Almost surely, 2^{21234012223200} is an apocalyptic number.

21234012223200 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 21234012223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39499511369472).

21234012223200 is an abundant number, since it is smaller than the sum of its proper divisors (57765010515744).

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

21234012223200 is a wasteful number, since it uses less digits than its factorization.

21234012223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135994 (or 135981 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21234012223200 its reverse (232221043212), we get a palindrome (21466233266412).

The spelling of 21234012223200 in words is "twenty-one trillion, two hundred thirty-four billion, twelve million, two hundred twenty-three thousand, two hundred".