234312311200 has 144 divisors (see below), whose sum is σ = 627156734400. Its totient is φ = 84775680000.

The previous prime is 234312311161. The next prime is 234312311269. The reversal of 234312311200 is 2113213432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684300 + ... + 1818100.

It is an arithmetic number, because the mean of its divisors is an integer number (4355255100).

Almost surely, 2^234312311200 is an apocalyptic number.

234312311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234312311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313578367200).

234312311200 is an abundant number, since it is smaller than the sum of its proper divisors (392844423200).

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

234312311200 is a wasteful number, since it uses less digits than its factorization.

234312311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134031 (or 134018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 234312311200 its reverse (2113213432), we get a palindrome (236425524632).

The spelling of 234312311200 in words is "two hundred thirty-four billion, three hundred twelve million, three hundred eleven thousand, two hundred".