23012122333200 has 1440 divisors, whose sum is σ = 100368698158848. Its totient is φ = 4385404108800.

The previous prime is 23012122333159. The next prime is 23012122333229. The reversal of 23012122333200 is 233322121032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2074466854 + ... + 2074477946.

Almost surely, 2^{23012122333200} is an apocalyptic number.

23012122333200 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 23012122333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50184349079424).

23012122333200 is an abundant number, since it is smaller than the sum of its proper divisors (77356575825648).

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

23012122333200 is a wasteful number, since it uses less digits than its factorization.

23012122333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11291 counting only the distinct ones).

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

Adding to 23012122333200 its reverse (233322121032), we get a palindrome (23245444454232).

The spelling of 23012122333200 in words is "twenty-three trillion, twelve billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred".