233103221120 has 128 divisors (see below), whose sum is σ = 694768838400. Its totient is φ = 72655534080.

The previous prime is 233103221101. The next prime is 233103221167. The reversal of 233103221120 is 21122301332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×233103221120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233103221092 and 233103221101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315810 + ... + 2414369.

It is an arithmetic number, because the mean of its divisors is an integer number (5427881550).

Almost surely, 2^233103221120 is an apocalyptic number.

233103221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233103221120 is an abundant number, since it is smaller than the sum of its proper divisors (461665617280).

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

233103221120 is a wasteful number, since it uses less digits than its factorization.

233103221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730216 (or 4730204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233103221120 its reverse (21122301332), we get a palindrome (254225522452).

The spelling of 233103221120 in words is "two hundred thirty-three billion, one hundred three million, two hundred twenty-one thousand, one hundred twenty".