23223121033200 has 240 divisors, whose sum is σ = 81189842612736. Its totient is φ = 5627378534400.

The previous prime is 23223121033153. The next prime is 23223121033207. The reversal of 23223121033200 is 233012132232.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223121033207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29803764 + ... + 30573036.

Almost surely, 2^{23223121033200} is an apocalyptic number.

23223121033200 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 23223121033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40594921306368).

23223121033200 is an abundant number, since it is smaller than the sum of its proper divisors (57966721579536).

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

23223121033200 is a wasteful number, since it uses less digits than its factorization.

23223121033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771592 (or 771581 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23223121033200 its reverse (233012132232), we get a palindrome (23456133165432).

The spelling of 23223121033200 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred twenty-one million, thirty-three thousand, two hundred".