233434023120 has 140 divisors (see below), whose sum is σ = 813729113316. Its totient is φ = 62249057280.

The previous prime is 233434023101. The next prime is 233434023167. The reversal of 233434023120 is 21320434332.

233434023120 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 340 + 2 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87760507536 + 145673515584 = 296244^2 + 381672^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1943001 + ... + 2059640.

Almost surely, 2^233434023120 is an apocalyptic number.

233434023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233434023120 is an abundant number, since it is smaller than the sum of its proper divisors (580295090196).

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

233434023120 is an equidigital number, since it uses as much as digits as its factorization.

233434023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002672 (or 4002651 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233434023120 its reverse (21320434332), we get a palindrome (254754457452).

The spelling of 233434023120 in words is "two hundred thirty-three billion, four hundred thirty-four million, twenty-three thousand, one hundred twenty".