23212123200 has 756 divisors, whose sum is σ = 97601757552. Its totient is φ = 5215795200.

The previous prime is 23212123199. The next prime is 23212123201. The reversal of 23212123200 is 232121232.

23212123200 is a `hidden beast` number, since 2 + 321 + 21 + 2 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23212123199) and next prime (23212123201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23212123201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47274955 + ... + 47275445.

Almost surely, 2^23212123200 is an apocalyptic number.

23212123200 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 23212123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800878776).

23212123200 is an abundant number, since it is smaller than the sum of its proper divisors (74389634352).

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

23212123200 is a wasteful number, since it uses less digits than its factorization.

23212123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23212123200 its reverse (232121232), we get a palindrome (23444244432).

23212123200 divided by its reverse (232121232) gives a square (100 = 10²).

The spelling of 23212123200 in words is "twenty-three billion, two hundred twelve million, one hundred twenty-three thousand, two hundred".