233014440120 has 128 divisors (see below), whose sum is σ = 871534563840. Its totient is φ = 48418583040.

The previous prime is 233014440103. The next prime is 233014440173. The reversal of 233014440120 is 21044410332.

It is a super-2 number, since 2×233014440120² (a number of 24 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12599767 + ... + 12618246.

It is an arithmetic number, because the mean of its divisors is an integer number (6808863780).

Almost surely, 2^233014440120 is an apocalyptic number.

233014440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233014440120 is an abundant number, since it is smaller than the sum of its proper divisors (638520123720).

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

233014440120 is a wasteful number, since it uses less digits than its factorization.

233014440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218045 (or 25218041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 233014440120 its reverse (21044410332), we get a palindrome (254058850452).

The spelling of 233014440120 in words is "two hundred thirty-three billion, fourteen million, four hundred forty thousand, one hundred twenty".