233121200013240 has 768 divisors, whose sum is σ = 885914817822720. Its totient is φ = 47676127656960.

The previous prime is 233121200013133. The next prime is 233121200013277. The reversal of 233121200013240 is 42310002121332.

It is a super-2 number, since 2×233121200013240² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233121200013240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75615048739 + ... + 75615051821.

It is an arithmetic number, because the mean of its divisors is an integer number (1153534919040).

Almost surely, 2^{233121200013240} is an apocalyptic number.

233121200013240 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 233121200013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442957408911360).

233121200013240 is an abundant number, since it is smaller than the sum of its proper divisors (652793617809480).

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

233121200013240 is a wasteful number, since it uses less digits than its factorization.

233121200013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233121200013240 its reverse (42310002121332), we get a palindrome (275431202134572).

The spelling of 233121200013240 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, two hundred million, thirteen thousand, two hundred forty".