234021310022000 has 320 divisors, whose sum is σ = 571227499814400. Its totient is φ = 92726690918400.

The previous prime is 234021310021999. The next prime is 234021310022033. The reversal of 234021310022000 is 220013120432.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82489004582 + ... + 82489007418.

It is an arithmetic number, because the mean of its divisors is an integer number (1785085936920).

Almost surely, 2^{234021310022000} is an apocalyptic number.

234021310022000 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 234021310022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285613749907200).

234021310022000 is an abundant number, since it is smaller than the sum of its proper divisors (337206189792400).

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

234021310022000 is a wasteful number, since it uses less digits than its factorization.

234021310022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234021310022000 its reverse (220013120432), we get a palindrome (234241323142432).

The spelling of 234021310022000 in words is "two hundred thirty-four trillion, twenty-one billion, three hundred ten million, twenty-two thousand".