233312113200 has 240 divisors, whose sum is σ = 775770125312. Its totient is φ = 59875200000.

The previous prime is 233312113187. The next prime is 233312113247. The reversal of 233312113200 is 2311213332.

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

It is a super-2 number, since 2×233312113200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6715875 + ... + 6750525.

Almost surely, 2^233312113200 is an apocalyptic number.

233312113200 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 233312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387885062656).

233312113200 is an abundant number, since it is smaller than the sum of its proper divisors (542458012112).

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

233312113200 is a wasteful number, since it uses less digits than its factorization.

233312113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34884 (or 34873 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233312113200 its reverse (2311213332), we get a palindrome (235623326532).

The spelling of 233312113200 in words is "two hundred thirty-three billion, three hundred twelve million, one hundred thirteen thousand, two hundred".