233232013020000 has 240 divisors, whose sum is σ = 766184553897840. Its totient is φ = 62102777856000.

The previous prime is 233232013019981. The next prime is 233232013020049. The reversal of 233232013020000 is 20310232332.

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

It is a super-2 number, since 2×233232013020000² (a number of 30 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 37492036 + ... + 43267964.

It is an arithmetic number, because the mean of its divisors is an integer number (3192435641241).

Almost surely, 2^{233232013020000} is an apocalyptic number.

233232013020000 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 233232013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383092276948920).

233232013020000 is an abundant number, since it is smaller than the sum of its proper divisors (532952540877840).

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

233232013020000 is an equidigital number, since it uses as much as digits as its factorization.

233232013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776635 (or 5776612 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233232013020000 its reverse (20310232332), we get a palindrome (233252323252332).

The spelling of 233232013020000 in words is "two hundred thirty-three trillion, two hundred thirty-two billion, thirteen million, twenty thousand".