233434011222120 has 64 divisors (see below), whose sum is σ = 704939795533440. Its totient is φ = 61836824160000.

The previous prime is 233434011222053. The next prime is 233434011222121. The reversal of 233434011222120 is 21222110434332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (233434011222121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441317731 + ... + 6441353970.

It is an arithmetic number, because the mean of its divisors is an integer number (11014684305210).

Almost surely, 2^{233434011222120} is an apocalyptic number.

233434011222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233434011222120 is an abundant number, since it is smaller than the sum of its proper divisors (471505784311320).

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

233434011222120 is a wasteful number, since it uses less digits than its factorization.

233434011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882671866 (or 12882671862 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 233434011222120 its reverse (21222110434332), we get a palindrome (254656121656452).

The spelling of 233434011222120 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, eleven million, two hundred twenty-two thousand, one hundred twenty".