233232132120000 has 280 divisors, whose sum is σ = 830436766683216. Its totient is φ = 57410985984000.

The previous prime is 233232132119953. The next prime is 233232132120047. The reversal of 233232132120000 is 21231232332.

It is an interprime number because it is at equal distance from previous prime (233232132119953) and next prime (233232132120047).

It is a super-2 number, since 2×233232132120000² (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 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, 73193889 + ... + 76313888.

Almost surely, 2^{233232132120000} is an apocalyptic number.

233232132120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233232132120000 is an abundant number, since it is smaller than the sum of its proper divisors (597204634563216).

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

233232132120000 is a wasteful number, since it uses less digits than its factorization.

233232132120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149507825 (or 149507800 counting only the distinct ones).

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

Adding to 233232132120000 its reverse (21231232332), we get a palindrome (233253363352332).

The spelling of 233232132120000 in words is "two hundred thirty-three trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred twenty thousand".